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Expansion in Feynman Graphs as Simplicial String TheoryJul 02 2004Aug 22 2004We show that the series expansion of quantum field theory in the Feynman diagrams can be explicitly mapped on the partition function of the simplicial string theory -- the theory describing embeddings of the two--dimensional simplicial complexes into ... More

Non-Abelian Structures in BSFT and RR couplingsSep 29 2001Oct 04 2001In this talk we show that the tachyon annihilation combined with an approximation, in which string theory non-commutativity structure is captured by the algebra of differential operators on space-time, gives a unified point of view on: non-Abelian structures ... More

Lectures on General Theory of RelativityJan 19 2016Dec 26 2017These are lectures on General Theory of Relativity that were given to students of the Mathematical Faculty of the Higher School of Economics in Moscow.

Real or Imaginary? (On pair creation in de Sitter space)Sep 21 2009Jul 06 2010Using properly defined Feynman propagator we obtain non--zero imaginary contribution to the scalar field effective action in even dimensional de Sitter space. Such a propagator follows from the path integral in de Sitter space and obeys composition principle ... More

Classical radiation by free-falling charges in de Sitter spacetimeJun 16 2010Aug 06 2010We study the classical radiation emitted by free-falling charges in de Sitter spacetime coupled to different kinds of fields. Specifically we consider the cases of the electromagnetic field, linearized gravity and scalar fields with arbitrary mass and ... More

Lectures on General Theory of RelativityJan 19 2016Nov 19 2016These are lectures on General Theory of Relativity that were given to students of the Mathematical Faculty of the Higher School of Economics in Moscow.

Simplicial vs. Continuum String Theory and Loop EquationsFeb 19 2005Apr 07 2005We derive loop equations in a scalar matrix field theory. We discuss their solutions in terms of simplicial string theory -- the theory describing embeddings of two--dimensional simplicial complexes into the space--time of the matrix field theory. This ... More

Towards the Theory of Non--Abelian Tensor Fields IIJun 03 2005We go on with the definition of the theory of the non--Abelian two--tensor fields and find the gauge transformation rules and curvature tensor for them. To define the theory we use the surface {\it exponent} proposed in hep--th/0503234. We derive the ... More

On the physical meaning of the Unruh effectMay 17 2007Oct 19 2007We present simple arguments that detectors moving with constant acceleration (even acceleration for a finite time) should detect particles. The effect is seen to be universal. Moreover, detectors undergoing linear acceleration and uniform, circular motion ... More

A quantum heating as an alternative of reheatingOct 17 2017Jan 18 2018To model a realistic situation for the beginning we consider massive real scalar $\phi^4$ theory in a (1+1)-dimensional asymptotically static Minkowski spacetime with an intermediate stage of expansion. To have an analytic headway we assume that scalars ... More

A simple way to take into account back reaction on pair creationDec 17 2009Mar 08 2010We propose a simple and systematic way of accounting for the back reaction on the background field due to the pair creation in the four--dimensional scalar QED. This method is straightforwardly generalizable to the gravity backgrounds. In the case of ... More

On the relation between Unruh and Sokolov--Ternov effectsOct 29 2006May 13 2007We show that the Sokolov--Ternov effect -- the depolarization of particles in storage rings coming from synchrotron radiation due to spin flip transitions -- is physically equivalent to the Unruh effect for circular acceleration if one uses a spin 1/2 ... More

Symmetries at the black hole horizonJul 18 2017We determine the asymptotic symmetry group of Killing horizons by choosing Gaussian null coordinates in the neighbourhood of the horizon and boundary conditions that respect the leading order terms in the metric. The analysis divides naturally into the ... More

Neutrinos with Mixing in Twisting Magnetic FieldsJan 06 1993Transitions in a system of neutrinos with vacuum mixing and magnetic moments, propagating in matter and transverse magnetic field, are considered. It is shown that in the realistic case of magnetic field direction varying along the neutrino path qualitatively ... More

Pontecorvo's Original Oscillations RevisitedJan 18 1993We show that a left-handed neutrino $\nu_L$ can oscillate into its $CP$- conjugated state $\bar{\nu}_R$ with maximal amplitude, in direct analogy with $K^0-\bar{K}^0$ oscillations. Peculiarities of such oscillations under different conditions are studied. ... More

Subtleties in the quasi-classical calculation of Hawking radiationMay 17 2008Oct 02 2008he quasi-classical method of deriving Hawking radiation is investigated. In order to recover the original Hawking temperature one must take into account a previously ignored contribution coming from the temporal part of the action. This contribution plus ... More

Hawking temperature in the tunneling pictureAug 15 2006Sep 24 2006We examine Hawking radiation from a Schwarzschild black hole in several reference frames using the quasi-classical tunneling picture. It is shown that when one uses, $\Gamma \propto \exp(Im [\oint p dr])$, rather than, $\Gamma \propto \exp(2 Im [\int ... More

Interacting Field Theories in de Sitter Space are Non-UnitaryAug 29 2008Sep 27 2008It is well known that there should be a total cancellation of the IR divergences in unitary interacting field theories, such as QED and gravity. The cancellation should be at all orders between loop and tree level contributions to cross--sections. This ... More

Majorana neutrinos and other Majorana particles:Theory and experimentDec 10 2014This is a somewhat modified version of Chapter 15 of the book "The Physics of Ettore Majorana", by Salvatore Esposito with contributions by Evgeny Akhmedov (Ch. 15) and Frank Wilczek (Ch. 14), Cambridge University Press, 2014.

About the almost everywhere convergence of the spectral expansions of functions from $L_1^\a(S^N)$Jun 29 2008In this paper we study the almost everywhere convergence of the expansions related to the self-adjoint extension of the Laplace-Beltrami operator on the unit sphere. The sufficient conditions for summability is obtained. The more general properties and ... More

About the asymptotic formula for spectral function of the Laplace-Beltrami operator on sphereAug 04 2008In this work we established asymptotical behavior for Riesz means of the spectral function of the Laplace operator on unit sphere.

Surface Bundles With Non-Zero SignatureMar 22 2007Apr 28 2007In this paper we develop a new technique that yields infinitely many surface bundles with non-zero signature.

Girth Alternative for Subgroups of PL_o(I)May 24 2011Jul 03 2014We prove the Girth Alternative for finitely generated subgroups of PL_o(I). We also prove that a finitely generated subgroup of Homeo(I) which is sufficiently rich with hyperbolic-like elements has infinite girth.

Small Exotic 4-ManifoldsDec 05 2006Mar 12 2007In this article, we construct the first example of a simply connected minimal symplectic 4-manifold homeomorphic but not diffeomorphic to 3CP^2#7CP^2b. We also construct the first exotic symplectic structure on CP^2#5CP^2b.

A new metric criterion for non-amenability III: Non-amenability of R.Thompson's group FFeb 23 2009Dec 20 2013We present new metric criteria for non-amenability and discuss applications. The main application of the results of this paper is the proof of non-amenability of R.Thompson's group F. This is a continuation of the series of papers on our criteria for ... More

About summability of Fourier-Laplace seriesAug 04 2008In this paper we study the almost everywhere convergence of the expansions related to the self-adjoint extension of the Laplace operator. The sufficient conditions for summability is obtained. For the orders of Riesz means, which greater than critical ... More

Ultraviolet phenomena in AdS self-interacting quantum field theoryFeb 08 2018We study the one-loop corrections to the four-point function in the Anti de Sitter space-time for a $\phi^4$ field theory. Our calculation shows the existence of non-local counterterms which however respect the AdS isometry. Our arguments are quite general ... More

De Sitter space and perpetuum mobileMay 17 2009Feb 14 2010We give general arguments that any interacting non--conformal {\it classical} field theory in de Sitter space leads to the possibility of constructing a perpetuum mobile. The arguments are based on the observation that massive free falling particles can ... More

A way to distinguish very compact stellar objects from black holesJan 15 2016Feb 15 2016We propose a way to distinguish compact stellar object, whose size is very close to its Schwarzschild radius, from the collapsing stars. Namely, we show that {\it massive} fields in the vicinity of a very compact stellar object have discrete energy levels. ... More

On Unification of RR CouplingsMay 22 2001May 30 2001We consider the couplings of RR fields with open string sector for $Dp$-${\overline{Dp}}$ backgrounds of various $p$. Proposed approach, based on the approximation of the open string algebra by the algebra of differential operators, provides the unified ... More

Thermal radiation of various gravitational backgroundsMay 14 2006Feb 17 2007We present a simple and general procedure for calculating the thermal radiation coming from any stationary metric. The physical picture is that the radiation arises as the quasi--classical tunneling of particles through a gravitational barrier. We show ... More

Running couplings and triviality of field theories on non-commutative spacesOct 01 2000Oct 07 2000We examine the issue of renormalizability of asymptotically free field theories on non-commutative spaces. As an example, we solve the non-commutative O(N) invariant Gross-Neveu model at large N. On commutative space this is a renormalizable model with ... More

Non-commutative Gross-Neveu model at large NMar 23 2001Apr 05 2001The non-commutative O(N) Gross-Neveu model is solved in the large N limit in two and three space-time dimensions. The commutative version of the two dimensional model is a renormalizable quantum field theory, both in a coupling constant expansion and ... More

Hawking radiation and secularly growing loop correctionsAug 29 2015Dec 20 2015We study the expectation value of the energy momentum tensor during thin shell collapse for a massive, real, scalar field theory. At tree-level, we find thermal, Hawking-type, behaviour for the energy flux. Using the Schwinger-Keldysh technique, we calculate ... More

Ultraviolet phenomena in AdS self-interacting quantum field theoryFeb 08 2018Mar 19 2018We study the one-loop corrections to the four-point function in the Anti de Sitter space-time for a $\phi^4$ field theory. Our calculation shows the existence of non-local counterterms which however respect the AdS isometry. Our arguments are quite general ... More

Sensitivity of Deep Convolutional Networks to Gabor NoiseJun 08 2019Jun 11 2019Deep Convolutional Networks (DCNs) have been shown to be sensitive to Universal Adversarial Perturbations (UAPs): input-agnostic perturbations that fool a model on large portions of a dataset. These UAPs exhibit interesting visual patterns, but this phenomena ... More

Genus two Lefschetz fibrations with $b^{+}_{2}=1$ and ${c_1}^{2}=1,2$Sep 06 2015Oct 19 2015In this article we construct a family of genus two Lefschetz fibrations $f_{n}: X_{\theta_n} \rightarrow \mathbb{S}^{2}$ with $e(X_{\theta_n})=11$, $b^{+}_{2}(X_{\theta_n})=1$, and $c_1^{2}(X_{\theta_n})=1$ by applying a single lantern substitution to ... More

Exotic Smooth Structures on Small 4-Manifolds with Odd SignaturesJan 29 2007Sep 10 2009Let $M$ be $\CP#2\CPb$, $3\CP#4\CPb$ or $(2n-1)\CP#2n\CPb$ for any integer $n\geq 3$. We construct an irreducible symplectic 4-manifold homeomorphic to $M$ and also an infinite family of pairwise non-diffeomorphic irreducible non-symplectic 4-manifolds ... More

Fat Triangulations and Differential GeometryAug 17 2011We study the differential geometric consequences of our previous result on the existence of fat triangulations, in conjunction with a result of Cheeger, M\"{u}ller and Schrader, regarding the convergence of Lipschitz-Killing curvatures of piecewise-flat ... More

On the properties of the combinatorial Ricci flow for surfacesApr 11 2011Jun 07 2011We investigate the properties of the combinatorial Ricci flow for surfaces, both forward and backward -- existence, uniqueness and singularities formation. We show that the positive results that exist for the smooth Ricci flow also hold for the combinatorial ... More

On a construction of Burago and ZalgallerSep 29 2010The purpose of this note is to scrutinize the proof of Burago and Zalgaller regarding the existence of $PL$ isometric embeddings of $PL$ compact surfaces into $\mathbb{R}^3$. We conclude that their proof does not admit a direct extension to higher dimensions. ... More

A note on the substructural hierarchyJul 02 2015Oct 19 2015We prove that all axiomatic extensions of the full Lambek calculus with exchange can be axiomatized by formulas on the $\mathcal N_3$ level of the substructural hierarchy.

Metric Curvatures and their Applications 2: Metric Ricci Curvature and FlowFeb 09 2019In this second part of our overview of the different metric curvatures and their various applications, we concentrate on the Ricci curvature and flow for polyhedral surfaces and higher dimensional manifolds, and we largely review our previous studies ... More

Two weight $L^{p}$-inequalities for dyadic shifts and the dyadic square functionApr 22 2015Jan 24 2017We consider two weight $L^{p}\to L^{q}$-inequalities for dyadic shifts and the dyadic square function with general exponents $1<p,q<\infty$. It is shown that if a so-called quadratic $\mathscr{A}_{p,q}$-condition related to the measures holds, then a ... More

Vector orthogonal polynomials with Bochner's propertySep 20 2016Oct 01 2017Classical orthogonal polynomial systems of Jacobi, Hermite, Laguerre and Bessel have the property that the polynomials of each system are eigenfunctions of a second order ordinary differential operator. According to a classical theorem by Bochner they ... More

Planck-Scale Physics and Neutrino MassesMay 22 1992Jun 05 1992We discuss gravitationally induced masses and mass splittings of Majorana, Zeldovich-Konopinski-Mahmoud and Dirac neutrinos. Among other implications, these effects can provide a solution of the solar neutrino puzzle. In particular, we show how this may ... More

Neutrino oscillations: Entanglement, energy-momentum conservation and QFTAug 12 2010Oct 27 2010We consider several subtle aspects of the theory of neutrino oscillations which have been under discussion recently. We show that the $S$-matrix formalism of quantum field theory can adequately describe neutrino oscillations if correct physics conditions ... More

Gluing of Surfaces with Polygonal BoundariesDec 17 2007Aug 24 2008By pairwise gluing of edges of a polygon, one produces two-dimensional surfaces with handles and boundaries. In this paper, we count the number ${\cal N}_{g,L}(n_1, n_2, ..., n_L)$ of different ways to produce a surface of given genus $g$ with $L$ polygonal ... More

The existence of thick triangulations -- an "elementary" proofDec 02 2008We provide an alternative, simpler proof of the existence of thick triangulations for noncompact $\mathcal{C}^1$ manifolds. Moreover, this proof is simpler than the original one given in \cite{pe}, since it mainly uses tools of elementary differential ... More

The average number of critical rank-one approximations to a tensorAug 15 2014Nov 02 2015Motivated by the many potential applications of low-rank multi-way tensor approximations, we set out to count the rank-one tensors that are critical points of the distance function to a general tensor v. As this count depends on v, we average over v drawn ... More

Dyadic-probabilistic methods in bilinear analysisSep 06 2016Oct 18 2018We demonstrate and develop dyadic-probabilistic methods in connection with non-homogeneous bilinear operators, namely singular integrals and square functions. We develop the full non-homogeneous theory of bilinear singular integrals using a modern point ... More

Neutrino production coherence and oscillation experimentsJan 19 2012Jan 26 2012Neutrino oscillations are only observable when the neutrino production, propagation and detection coherence conditions are satisfied. In this paper we consider in detail neutrino production coherence, taking \pi\to \mu \nu \ decay as an example. We compare ... More

1-3 leptonic mixing and the neutrino oscillograms of the EarthDec 21 2006Jan 31 2007We develop a detailed and comprehensive description of neutrino oscillations driven by the 1-3 mixing in the matter of the Earth. The description is valid for the realistic (PREM) Earth density profile in the whole range of nadir angles and for neutrino ... More

Atmospheric neutrinos at Super-Kamiokande and parametric resonance in neutrino oscillationsAug 09 1998Oct 07 1998We consider the oscillations of atmospheric neutrinos in the earth in the three-neutrino scheme with a $\Delta m^2$ hierarchy and a small admixture of the electron neutrino in the heavy mass eigenstate characterized by the mixing angle $\theta_{13}$. ... More

Mass hierarchy, 2-3 mixing and CP-phase with Huge Atmospheric Neutrino DetectorsMay 31 2012Apr 26 2013We explore the physics potential of multi-megaton scale ice or water Cherenkov detectors with low ($\sim 1$ GeV) threshold. Using some proposed characteristics of the PINGU detector setup we compute the distributions of events versus neutrino energy $E_\nu$ ... More

Soft Goals Can Be Compiled AwayJan 15 2014Soft goals extend the classical model of planning with a simple model of preferences. The best plans are then not the ones with least cost but the ones with maximum utility, where the utility of a plan is the sum of the utilities of the soft goals achieved ... More

Refining Santa: An Exercise in Efficient SynchronizationOct 23 2018The Santa Claus Problem is an intricate exercise for concurrent programming. This paper outlines the refinement steps to develop a highly efficient implementation with concurrent objects, starting from a simple specification. The efficiency of the implementation ... More

Comments on QED with background electric fieldsJan 05 2009Feb 23 2009It is well known that there is a total cancellation of the \emph{factorizable} IR divergences in unitary interacting field theories, such as QED and quantum gravity. In this note we show that such a cancellation does not happen in QED with background ... More

An Optimal Experimental Design Framework for Adaptive Inflation and Covariance Localization for Ensemble FiltersJun 27 2018Mar 24 2019We develop an optimal experimental design framework for adapting the covariance inflation and localization in data assimilation problems. Covariance inflation and localization are ubiquitously employed to alleviate the effect of using ensembles of finite ... More

Left-Right Symmetry Breaking in NJL ApproachJul 10 1995We study left-right symmetric models which contain only fermion and gauge boson fields and no elementary scalars. The Higgs bosons are generated dynamically through a set of gauge- and parity-invariant 4-fermion operators. It is shown that in a model ... More

Planck scale effects in neutrino physicsAug 18 1992We study the phenomenology and cosmology of the Majoron (flavon) models of three active and one inert neutrino paying special attention to the possible (almost) conserved generalization of the Zeldovich-Konopinski-Mahmoud lepton charge. Using Planck scale ... More

Supernova neutrinos: difference of nu_mu - nu_tau fluxes and conversion effectsApr 08 2002May 07 2002The formalism of flavor conversion of supernova neutrinos is generalized to include possible differences in the fluxes of the muon and tau neutrinos produced in the star. In this case the radiatively induced difference of the nu_mu and nu_tau potentials ... More

Oscillations of high energy neutrinos in matter: Precise formalism and parametric resonanceJun 07 2005Jul 08 2005We present a formalism for precise description of oscillation phenomena in matter at high energies or high densities, V > \Delta m^2/2E, where V is the matter-induced potential of neutrinos. The accuracy of the approximation is determined by the quantity ... More

Probing the seesaw mechanism with neutrino data and leptogenesisMay 29 2003Sep 17 2003In the framework of the seesaw mechanism with three heavy right-handed Majorana neutrinos and no Higgs triplets we carry out a systematic study of the structure of the right-handed neutrino sector. Using the current low-energy neutrino data as an input ... More

Comment on the Surface Exponential for Tensor FieldsApr 19 2005Starting from essentially commutative exponential map $E(B|I)$ for generic tensor-valued 2-forms $B$, introduced in \cite{Akh} as direct generalization of the ordinary non-commutative $P$-exponent for 1-forms with values in matrices (i.e. in tensors of ... More

The Computation of the Möbius Function of a Möbius CategoryOct 29 2012The paper presents some results for reducing the computation of the M\"obius functon of a M\"obius category that arises from a combinatorial inverse semigroup to that of locally finite partially ordered sets. We illustrate the computation of the M\"obius ... More

Semi-classical analysis of Schrodinger operators and compactness in the d-bar-Neumann problemJan 16 2002We study the asymptotic behavior, in a ``semi-classical limit'', of the first eigenvalues (i.e. the groundstate energies) of a class of Schr\"{o}dinger operators with magnetic fields and the relationship of this behavior with compactness in the $\bar\partial$-Neumann ... More

Estimates for the complex Green operator: symmetry, percolation, and interpolationApr 13 2017Aug 30 2017Let $M$ be a pseudoconvex, oriented, bounded and closed CR submanifold of $\mathbb{C}^{n}$ of hypersurface type. We show that Sobolev estimates for the complex Green operator hold simultaneously for forms of symmetric bidegrees, that is, they hold for ... More

Semi-Implicit Time Integration of Atmospheric Flows with Characteristic-Based Flux PartitioningOct 20 2015Apr 14 2016This paper presents a characteristic-based flux partitioning for the semi-implicit time integration of atmospheric flows. Nonhydrostatic models require the solution of the compressible Euler equations. The acoustic time-scale is significantly faster than ... More

An exact statement for Wilsonian and Holographic renormalization groupJan 22 2010Mar 03 2010We show that Polchinski equations in the D--dimensional matrix scalar field theory can be reduced at large $N$ to the Hamiltonian equations in a (D+1)-dimensional theory. In the subsector of the $\Tr \phi^l$ (for all $l$) operators we find the exact form ... More

A few more comments on secularly growing loop corrections in strong electric fieldsDec 04 2014Aug 25 2015We extend the observations of our previous paper JHEP 1409, 071 (2014) [arXiv:1405.5285]. In particular, we show that the secular growth of the loop corrections to the two--point correlation functions is gauge independent: we observe the same growth in ... More

Exceptional Links and Twisted Fermi Ribbons in non-Hermitian SystemsJul 09 2018Nov 12 2018The generic nature of band touching points in three-dimensional band structures is at heart of the rich phenomenology, topological stability and novel Fermi arc surface states associated with Weyl semimetals. Here we report on the corresponding scenario ... More

On the relation between effective supersymmetric actions in different dimensionsFeb 05 2002We make two remarks: (i) Renormalization of the effective charge in a 4--dimensional (supersymmetric) gauge theory is determined by the same graphs and is rigidly connected to the renormalization of the metric on the moduli space of the classical vacua ... More

Gauss-Bonnet Gravity in $D=4$ Without Gauss-Bonnet Coupling to Matter - Cosmological ImplicationsSep 02 2018Dec 11 2018We propose a new model of $D=4$ Gauss-Bonnet gravity. To avoid the usual property of the integral over the standard $D=4$ Gauss-Bonnet scalar becoming a total derivative term, we employ the formalism of metric-independent non-Riemannian spacetime volume ... More

Gravity-Assisted Emergent Higgs Mechanism in the Post-Inflationary EpochMar 20 2016Aug 01 2016We consider a non-standard model of gravity coupled to a neutral scalar "inflaton" as well as to SU(2)xU(1) iso-doublet scalar with positive mass squared and without self-interaction, and to SU(2)xU(1) gauge fields. The principal new ingredient is employing ... More

When Is the Achievable Rate Region Convex in Two-User Massive MIMO Systems?Jun 19 2018This letter investigates the achievable rate region in Massive multiple-input-multiple-output (MIMO) systems with two users, with focus on the i.i.d.~Rayleigh fading and line-of-sight (LoS) scenarios. If the rate region is convex, spatial multiplexing ... More

Quasi-Banach estimates of commutators of bilinear bi-parameter singular integrals: paraproductsJun 25 2018We complete our boundedness theory of commutators of bilinear bi-parameter singular integrals by establishing the following result. If $T$ is a bilinear bi-parameter singular integral satisfying suitable $T1$ type assumptions, $\|b\|_{\operatorname{bmo}(\mathbb{R}^{n+m})} ... More

Bloom type upper bounds in the product BMO settingOct 22 2018Apr 09 2019For a bounded singular integral $T_n$ in $\mathbb{R}^n$ and a bounded singular integral $T_m$ in $\mathbb{R}^m$ we prove that $$ \| [T_n^1, [b, T_m^2]] \|_{L^p(\mu) \to L^p(\lambda)} \lesssim_{[\mu]_{A_p}, [\lambda]_{A_p}} \|b\|_{\operatorname{BMO}_{\textrm{prod}}(\nu)}, ... More

The football {5, 6, 6} and its geometries: from a sport tool to fullerens and furtherMar 07 2017This presentation starts with the regular polygons, of course, then with the Platonic and Archimedean solids. The latter ones are whose symmetry groups are transitive on the vertices, and in addition, whose faces are regular polygons (see only I. Prok's ... More

Intelligent Reflecting Surface vs. Decode-and-Forward: How Large Surfaces Are Needed to Beat Relaying?Jun 10 2019The rate and energy efficiency of wireless channels can be improved by deploying software-controlled metasurfaces to reflect signals from the source to destination, especially when the direct path is weak. While previous works mainly optimized the reflections, ... More

Noncommutative bispectral Darboux transformationsAug 31 2015Jul 01 2016We prove a general theorem establishing the bispectrality of noncommutative Darboux transformations. It has a wide range of applications that establish bispectrality of such transformations for differential, difference and q-difference operators with ... More

Secularly growing loop corrections in strong electric fieldsMay 21 2014Nov 25 2014We calculate one--loop corrections to the vertexes and propagators of photons and charged particles in the strong electric field backgrounds. We use the Schwinger--Keldysh diagrammatic technique. We observe that photon's Keldysh propagator receives growing ... More

Non-homogeneous square functions on general sets: suppression and big pieces methodsJun 14 2016We aim to showcase the wide applicability and power of the big pieces and suppression methods in the theory of local $Tb$ theorems. The setting is new: we consider conical square functions with cones $\{x \in \mathbb{R}^n \setminus E: |x-y| < 2 \operatorname{dist}(x,E)\}$, ... More

Time Localization and Capacity of Faster-Than-Nyquist SignalingMay 13 2015Dec 07 2015In this paper, we consider communication over the bandwidth limited analog white Gaussian noise channel using non-orthogonal pulses. In particular, we consider non-orthogonal transmission by signaling samples at a rate higher than the Nyquist rate. Using ... More

Implications of Gallium Solar Neutrino Data for the Resonant Spin-Flavor Precession ScenarioJan 14 1993We consider the implications of the recent results of SAGE and GALLEX experiments for the solution of the solar neutrino problem in the framework of the resonant neutrino spin-flavor precession scenario. It is shown that this scenario is consistent with ... More

Infrared dynamics of the massive $φ^4$ theory on de Sitter spaceMar 05 2013Nov 15 2013We study massive real scalar $\phi^4$ theory in the expanding Poincare patch of de Sitter space. We calculate the leading two-loop infrared contribution to the two-point function in this theory. We do that for the massive fields both from the principal ... More

Hints on integrability in the Wilsonian/holographic renormalization groupJun 10 2010Sep 20 2011The Polchinski equations for the Wilsonian renormalization group in the $D$--dimensional matrix scalar field theory can be written at large $N$ in a Hamiltonian form. The Hamiltonian defines evolution along one extra holographic dimension (energy scale) ... More

The production and escape of ionizing photons from galaxies over cosmic time (Astro2020 Science White Paper)May 14 2019The ionizing photons produced by massive stars are key actors in galaxy evolution. Ionizing photon production and escape is poorly understood. Improved space-based, spatially-resolved, multiplexed spectroscopic capabilities covering observed wavelengths ... More

T violation in neutrino oscillations in matterMay 03 2001May 29 2001We consider the interplay of fundamental and matter-induced T violation effects in neutrino oscillations in matter. After discussing the general features of these effects we derive a simple approximate analytic expression for the T-violating probability ... More

Global sensitivity analysis for statistical model parametersAug 24 2017Jun 28 2018Global sensitivity analysis (GSA) is frequently used to analyze the influence of uncertain parameters in mathematical models and simulations. In principle, tools from GSA may be extended to analyze the influence of parameters in statistical models. Such ... More

Confinement/Deconfinement and Gravity-Assisted Emergent Higgs Mechanism in Quintessential Cosmological ModelApr 21 2018Motivated by the ideas of Jacob Bekenstein concerning gravity-assisted symmetry breaking, we consider a non-canonical model of f(R)=R+R^2 extended gravity coupled to neutral scalar "inflaton", as well as to SU(2)xU(1) multiplet of fields matching the ... More

Four-Dimensonal Gauss-Bonnet Gravity Without Gauss-Bonnet Coupling to Matter - Spherically Symmetric Solutions, Domain Walls and Spacetime SingularitiesNov 11 2018We discuss a new extended gravity model in ordinary $D=4$ spacetime dimensions, where an additional term in the action involving Gauss-Bonnet topological density is included without the need to couple it to matter fields unlike the case of ordinary D=4 ... More

The universal Gröbner basis of a binomial edge idealJan 18 2016Aug 27 2016We show that the universal Gr\"obner basis and the Graver basis of a binomial edge ideal coincide. We provide a description for this basis set in terms of certain paths in the underlying graph. We conjecture a similar result for a parity binomial edge ... More

A parallel Buchberger algorithm for multigraded idealsMay 27 2011We demonstrate a method to parallelize the computation of a Gr\"obner basis for a homogenous ideal in a multigraded polynomial ring. Our method uses anti-chains in the lattice $\mathbb N^k$ to separate mutually independent S-polynomials for reduction. ... More

Solar Neutrino Data, Neutrino Magnetic Moments and Flavor MixingNov 15 1994The results of all currently operating solar neutrino experiments are analyzed in the framework of the resonant neutrino spin--flavor precession scenario including the effects of neutrino mixing. Nine different profiles of the solar magnetic field are ... More

Characters of different secular effects in various patches of de Sitter spaceJan 22 2019There are at least three different types of secular effects in the two-point correlation functions in scalar quantum field theories in de Sitter space-time. The first one is specific to de Sitter massless and tachyonic minimally coupled scalar fields. ... More

Braiding Flux-Tubes in Topological Quantum and Classical Lattice Models from Class-DMay 07 2019May 14 2019We use magnetic flux-tubes to stabilize zero-energy modes in a lattice realization of a 2-dimensional superconductor from class D of classification table of topological condensed matter systems. The zero modes are exchanged by slowly displacing the flux-tubes ... More

On groups of diffeomorphisms of the interval with finitely many fixed points IMar 12 2015We strengthen the results of [1], consequently, we improve the claims of [2] obtaining the best possible results. Namely, we prove that if a subgroup $\Gamma $ of $\mathrm{Diff}_{+}(I)$ contains a free semigroup on two generators then $\Gamma $ is not ... More

Extension of Hölder's Theorem in Diff_{+}^{1+ε}(I)Aug 01 2013Jun 02 2014We prove that if \Gamma is subgroup of Diff_{+}^{1+\epsilon}(I) and N is a natural number such that every non-identity element of \Gamma has at most N fixed points then \Gamma is solvable. If in addition \Gamma is a subgroup of Diff_{+}^{2}(I) then we ... More