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A moment-generating formula for Erdős-Rényi component sizesJul 17 2017Mar 21 2018We derive a simple formula characterizing the distribution of the size of the connected component of a fixed vertex in the Erd\H{o}s-R\'enyi random graph which allows us to give elementary proofs of some results of Federico, van der Hofstad, den Hollander ... More

Identifying Mild Traumatic Brain Injury Patients From MR Images Using Bag of Visual WordsOct 18 2017Feb 14 2018Mild traumatic brain injury (mTBI) is a growing public health problem with an estimated incidence of one million people annually in US. Neurocognitive tests are used to both assess the patient condition and to monitor the patient progress. This work aims ... More

Percolation on the stationary distributions of the voter modelFeb 04 2015Feb 18 2016The voter model on $\mathbb{Z}^d$ is a particle system that serves as a rough model for changes of opinions among social agents or, alternatively, competition between biological species occupying space. When $d \geq 3$, the set of (extremal) stationary ... More

A number field extension of a question of MilnorJan 10 2016Milnor formulated a conjecture about rational linear independence of some special Hurwitz zeta values. The second and third authors along with Ram Murty studied this conjecture and suggested an extension of Milnor's conjecture. In this note, we investigate ... More

An understanding of some properties of wave functions in PT-symmetry using (2x2) matrix modelFeb 19 2019We propose a new CCS(complex-conjugate-space) to understand the behaviour of wave functions in non-hermitian PT-symmetry model in quantum mechanics.As an example of this ,we consider previous Bender,Brody and Jones model PT-symmetry operaor . In non-conventional ... More

A short proof of the phase transition for the vacant set of random interlacementsJul 31 2014Jan 22 2015The vacant set of random interlacements at level $u>0$, introduced in arXiv:0704.2560, is a percolation model on $\mathbb{Z}^d$, $d \geq 3$ which arises as the set of sites avoided by a Poissonian cloud of doubly infinite trajectories, where $u$ is a ... More

Feller property of the multiplicative coalescent with linear deletionSep 30 2016We modify the definition of Aldous' multiplicative coalescent process and introduce the multiplicative coalescent with linear deletion (MCLD). A state of this process is a square-summable decreasing sequence of cluster sizes. Pairs of clusters merge with ... More

Time evolution of dense multigraph limits under edge-conservative preferential attachment dynamicsDec 19 2009Apr 26 2012We define the edge reconnecting model, a random multigraph evolving in time. At each time step we change one endpoint of a uniformly chosen edge: the new endpoint is chosen by linear preferential attachment. We consider a sequence of edge reconnecting ... More

A Deep Unsupervised Learning Approach Toward MTBI Identification Using Diffusion MRIFeb 08 2018Mild traumatic brain injury (mTBI) is a growing public health problem with an estimated incidence of one million people annually in US. Neurocognitive tests have been used to both assess the patient condition and to monitor the patient progress. This ... More

MTBI Identification From Diffusion MR Images Using Bag of Adversarial Visual FeaturesJun 27 2018In this work, we propose bag of adversarial features (BAF) for identifying mild traumatic brain injury (MTBI) patients from their diffusion magnetic resonance images (MRI) (obtained within one month of injury) by incorporating unsupervised feature learning ... More

A Deep Unsupervised Learning Approach Toward MTBI Identification Using Diffusion MRIFeb 08 2018Apr 11 2018Mild traumatic brain injury is a growing public health problem with an estimated incidence of over 1.7 million people annually in US. Diagnosis is based on clinical history and symptoms, and accurate, concrete measures of injury are lacking. This work ... More

On decoupling inequalities and percolation of excursion sets of the Gaussian free fieldJul 10 2013Feb 04 2015We prove decoupling inequalities for the Gaussian free field on $\mathbb{Z}^d$, $d\geq 3$. As an application, we obtain exponential decay (with logarithmic correction for $d=3$) of the connectivity function of excursion sets for large values of the threshold. ... More

Prominent interference peaks in the dephasing Anderson modelOct 24 2018The Anderson model with decoherence features a temporal evolution from localized eigenstates to a uniform spatial distribution bar any interference features. We discuss the growth and decay of pronounced interference peaks on transient time-scales and ... More

Practical scheme for a light-induced gauge field in an atomic Bose gasNov 24 2008Feb 03 2009We propose a scheme to generate an Abelian gauge field in an atomic gas using two crossed laser beams. If the internal atomic state follows adiabatically the eigenstates of the atom-laser interaction, Berry's phase gives rise to a vector potential that ... More

Multigraph limit of the dense configuration model and the preferential attachment graphJun 10 2011Apr 10 2012The configuration model is the most natural model to generate a random multigraph with a given degree sequence. We use the notion of dense graph limits to characterize the special form of limit objects of convergent sequences of configuration models. ... More

Uncertainties and shortcomings of ground surface temperature histories derived from inversion of temperature logsJun 14 2008Analysing borehole temperature data in terms of ground surface history can add useful information to reconstructions of past climates. Therefore, a rigorous assessment of uncertainties and error sources is a necessary prerequisite for the meaningful interpretation ... More

Multigraph limits and exchangeabilityOct 03 2009Jun 11 2010The theory of limits of dense graph sequences was initiated by Lovasz and Szegedy. We give a possible generalization of this theory to multigraphs. Our proofs are based on the correspondence between dense graph limits and countable, exchangeable arrays ... More

Exploiting Wireless Channel State Information Structures Beyond Linear Correlations: A Deep Learning ApproachDec 03 2018Knowledge of information about the propagation channel in which a wireless system operates enables better, more efficient approaches for signal transmissions. Therefore, channel state information (CSI) plays a pivotal role in the system performance. The ... More

FMLtoHOL (version 1.0): Automating First-order Modal Logics with LEO-II and FriendsJul 28 2012A converter from first-order modal logics to classical higher- order logic is presented. This tool enables the application of off-the-shelf higher-order theorem provers and model finders for reasoning within first- order modal logics. The tool supports ... More

The effect of small quenched noise on connectivity properties of random interlacementsSep 23 2011Feb 07 2013The random interlacements (at level u) is a one parameter family of random subsets of Z^d introduced by Sznitman in arXiv:0704.2560. The vacant set at level u is the complement of the random interlacement at level u. In this paper, we study the effect ... More

The Adjoint L-function of SU(2,1)Aug 31 2008We modify Ginzburg's construction for the Adjoint L function of GL(3) (unfolding and unramified computations only) to accomodate quasisplit unitary groups.

Galactic-scale macro-engineering: Looking for signs of other intelligent species, as an exercise in hope for our ownNov 28 2013Dec 16 2014If we consider Big History as simply 'our' example of the process of cosmic evolution playing out, then we can seek to broaden our view of our possible fate as a species by asking questions about what paths or trajectories other species' own versions ... More

Superform formulation for vector-tensor multiplets in conformal supergravityMay 31 2012Nov 03 2012The recent papers arXiv:1110.0971 and arXiv:1201.5431 have provided a superfield description for vector-tensor multiplets and their Chern-Simons couplings in 4D N = 2 conformal supergravity. Here we develop a superform formulation for these theories. ... More

Testing a model for the puzzling spin 0 mesonsFeb 14 2012After a brief historical discussion of meson quantum numbers, we examin the possibility of additional internal meson structure. Experimental tests of this structure using the semi-leptonic decays of the $D_s^+n$(1968) meson are discussed.

An institutional approach to computational social creativityMay 08 2016Jun 25 2016Modelling the creativity that takes place in social settings presents a range of theoretical challenges. Mel Rhodes's classic "4Ps" of creativity, the "Person, Process, Product, and Press," offer an initial typology. Here, Rhodes's ideas are connected ... More

Permutation Methods for Sharpening Gaussian Process ApproximationsSep 17 2016Vecchia's approximate likelihood for Gaussian process parameters depends on how the observations are ordered, which can be viewed as a deficiency because the exact likelihood is permutation-invariant. This article takes the alternative standpoint that ... More

How many subsets of edges of a directed multigraph can be represented as trails?Jun 29 2016Jul 08 2016For each subset of edges of a (directed multi-) graph, one may determine whether the edges can be represented as a trail. I prove that the fraction trail-representable subsets of edges is at most $O(\sqrt{\log m}/\sqrt{m})$, where $m$ is the number of ... More

Rotors in Khovanov HomologyJan 05 2015Anstee, Przyticki and Rolfsen introduced the idea of rotants, pairs of links related by a generalised form of link mutation. We exhibit infinitely many pairs of rotants which can be distinguished by Khovanov homology, but not by the Jones polynomial.

On the growth of high Sobolev norms for certain one-dimensional Hamiltonian PDEsJun 12 2015Oct 07 2015This paper is devoted to the study of large time bounds for the Sobolev norms of the solutions of the following fractional cubic Schr{\"o}dinger equation on the torus :$$i \partial\_t u = |D|^\alpha u+|u|^2 u, \quad u(0, \cdot)=u\_0,$$where $\alpha$ is ... More

Gravitational energyOct 20 2005Observers at rest in a stationary spacetime flat at infinity can measure small amounts of rest-mass+internal energies+kinetic energies+pressure energy in a small volume of fluid attached to a local inertial frame. The sum of these small amounts is the ... More

Thermodynamics and Self-Gravitating SystemsDec 12 2002This work assembles some basic theoretical elements on thermal equilibrium, stability conditions, and fluctuation theory in self-gravitating systems illustrated with a few examples. Thermodynamics deals with states that have settled down after sufficient ... More

The evolution of Jordan curves on $\mathbb{S}^2$ by curve shortening flowJan 21 2016In this paper we prove that if $\gamma$ is a Jordan curve on $\mathbb{S}^2$ then there is a smooth curve shortening flow defined on $(0,T)$ which converges to $\gamma$ in $\mathcal{C}^0$ as $t\to 0^+ $. Another perspective is that the level-set flow of ... More

Convergence of mean curvature flows with surgeryFeb 19 2010Sep 20 2011Huisken and Sinestrari have recently defined a surgery process for mean curvature flow when the initial data is a two-convex hypersurface. The process depends on a parameter H. Its role is to initiate a surgery when the maximum of the mean curvature of ... More

Two-dimensional ${\cal N} = (2, 2)$ Lattice Gauge Theories with Matter in Higher RepresentationsMar 18 2014Jun 18 2014We construct two-dimensional ${\cal N} = (2, 2)$ supersymmetric gauge theories on a Euclidean spacetime lattice with matter in the two-index symmetric and anti-symmetric representations of SU($N_c$) color group. These lattice theories preserve a subset ... More

Adjoints of ideals in regular local ringsMay 20 1994The adjoint of an ideal I in a regular local ring R is the R-ideal adj(I):=H^0(Y, I\omega_Y), where f:Y -> Spec(R) is a proper birational map with Y nonsingular and IO_Y invertible, and \omega_f is a canonical relative dualizing sheaf. (Such an f is supposed ... More

Holomorphy of adjoint $L$ functions for quasisplit A2Oct 31 2016We study the poles of the twisted adjoint L function of a generic cuspidal automorphic representation of GL(3) or a quasisplit unitary group using a method pioneered by Ginzburg and Jiang and based on the theory of integral representations.

Average Sequence dissimilarity under simple multi-species coalescentApr 05 2011We show how to analytically derive the average sequence dissimilarity (ASD) within and between species under a simplified multi-species coalescent setup.

Counterfeiting, Including Phishing, as Identity TheftNov 12 2015Oct 03 2016I researched the ability of browsers to counterfeit the behaviour of installed software. In full screen mode browsers can counterfeit almost anything, including BSOD, formatting the hard drive and fake login screens. I found one category of behaviour ... More

Metrics and convergence in the moduli spaces of mapsJun 16 2014We provide a general framework to study convergence properties of families of maps. For manifolds $M$ and $N$ where $M$ is equipped with a volume form $\mathcal{V}$ we consider families of maps in the collection $\{(\phi, B) : B \subset M, \phi:B \rightarrow ... More

Galaxy Formation and Dark MatterMar 08 2006The challenge of dark matter may be addressed in two ways; by studying the confrontation of structure formation with observation and by direct and indirect searches. In this review, I will focus on those aspects of dark matter that are relevant for understanding ... More

Dark Matter and Galaxy Formation: Challenges for the Next DecadeDec 13 2004The origin of the galaxies represents an important focus of current cosmological research, both observational and theoretical. Its resolution involves a comprehensive understanding of star formation, galaxy dynamics, the cosmology of the very early universe, ... More

Some Current Issues in Galaxy FormationJan 05 2004Jan 06 2004I describe recent challenges in hierarchical galaxy formation theory, including the formation of disk galaxies and of ellipticals. Problems with cold dark matter are summarized, and possible solutions are presented. I conclude with a description of the ... More

Attractive n-type contact processesJun 29 2010Nov 10 2010Interacting particle systems are continuous time Markov processes which are used to construct models in many disciplines. Monotonicity is a property that some interacting particle systems possess. A monotone interacting particle system is called attractive. ... More

The Black Hole Information ProblemSep 13 2016The black hole information problem has been a challenge since Hawking's original 1975 paper. It led to the discovery of AdS/CFT, which gave a partial resolution of the paradox. However, recent developments, in particular the firewall puzzle, show that ... More

Why trust a theory? Some further remarks (part 1)Jan 22 2016Jan 27 2016I expand on some ideas from my recent review "String theory to the rescue," I discuss my use of Bayesian reasoning. I argue that it can be useful but that it is very far from the central point of the discussion. I then review my own personal history with ... More

M Theory: Uncertainty and UnificationSep 12 2002I review our current understanding of the Worldformula, M theory, focusing on themes from the work of Heisenberg.

N = 2 Gauge/Gravity DualsNov 21 2000Jun 18 2007We study the N = 2 supersymmetric analog of the Klebanov-Strassler system. We first review the resolution of singularities by the enhancon mechanism, and the physics of fractional branes on an orbifold. We then describe the exact N = 2 solution. This ... More

String Theory and Black Hole ComplementarityJul 18 1995Is string theory relevant to the black hole information problem? This is an attempt to clarify some of the issues involved. Presented at Strings '95.

Combinatorics of Boundaries in String TheoryJul 06 1994We investigate the possibility that stringy nonperturbative effects appear as holes in the world-sheet. We focus on the case of Dirichlet string theory, which we argue should be formulated differently than in previous work, and we find that the effects ... More

M-Theory and the Light ConeMar 19 1999Jun 14 1999I discuss D0-brane quantum mechanics as a nonperturbative formulation of string theory, in particular the relation between the Banks-Fischler-Shenker-Susskind matrix model, the Maldacena conjecture for D0-branes, and type IIA/M-theory duality. Some features ... More

String Duality--A ColloquiumJul 06 1996Jul 09 1996The strong coupling limit of a quantum system is in general quite complicated, but in some cases a great simplification occurs: the strongly coupled limit is equivalent to the weakly coupled limit of some other system. In string theory conjectures of ... More

On the Nonperturbative Consistency of $d=2$ String TheorySep 27 1994Sep 28 1994An infinite number of distinct $d=1$ matrix models reproduce the perturbation theory of $d=2$ string theory. Due to constraints of causality, however, we argue that none of the existing constructions gives a consistent nonperturbative definition of the ... More

Effective Field Theory and the Fermi SurfaceOct 08 1992Jun 08 1999This is an introduction to the method of effective field theory. As an application, I derive the effective field theory of low energy excitations in a conductor, the Landau theory of Fermi liquids, and explain why the high-$T_c$ superconductors must be ... More

Recent Progress in Formal TheoryOct 20 2008This is a summary talk covering recent progress in perturbative methods for gauge theories and gravity, applications of AdS/CFT duality, vacuum energy, and string theory models of particle physics and cosmology.

Tensors from K3 OrientifoldsJun 26 1996Jul 06 1996Recently Gimon and Johnson (hep-th/9604129) and Dabholkar and Park (hep-th/9604178) have constructed Type I theories on K3 orbifolds. The spectra differ from that of Type I on a smooth K3, having extra tensors. We show that the orbifold theories cannot ... More

Configurations of Points and the Symplectic Berry-Robbins ProblemJul 31 2014Dec 19 2014We present a new problem on configurations of points, which is a new version of a similar problem by Atiyah and Sutcliffe, except it is related to the Lie group $\operatorname{Sp}(n)$, instead of the Lie group $\operatorname{U}(n)$. Denote by $\mathfrak{h}$ ... More

A direct proof of the functional Santalo inequalityNov 09 2010We give a simple proof of a functional version of the Blaschke-Santalo inequality due to Artstein, Klartag and Milman. The proof is by induction on the dimension and does not use the Blaschke-Santalo inequality.

Penalizations of the Brownian motion by a functional of its local timesJan 18 2007In this article, we study the family of probability measures (indexed by a positive real number t), obtained by penalization of the Brownian motion by a given functional of its local times at time t. We prove that this family tends to a limit measure ... More

Penalizations of Walsh Brownian motionOct 18 2006In this paper, we construct a family of probability measures, by penalizations of a Walsh Brownian motion with a weight dependent on its value and its local time at a time t. We prove that this family converges to a probability measure as t tends to infinity, ... More

Gravity and decoherence: the double slit experiment revisitedJun 14 2017Jan 29 2018The double slit experiment is iconic and widely used in classrooms to demonstrate the fundamental mystery of quantum physics. The puzzling feature is that the probability of an electron arriving at the detector when both slits are open is not the sum ... More

The Atiyah-Sutcliffe DeterminantMar 14 2019We present a general formula for the Atiyah-Sutcliffe determinant function, which holds for any integer $n \geq 2$, as a global factor times a sum of terms, with each term similar to a higher degree cross-ratio. The formula is to our knowledge new. We ... More

Lifts of longest elements to braid groups acting on derived categoriesJul 11 2012Feb 18 2013If we have a braid group acting on a derived category by spherical twists, how does a lift of the longest element of the symmetric group act? We give an answer to this question, using periodic twists, for the derived category of modules over a symmetric ... More

Root Systems and the Atiyah-Sutcliffe ProblemFeb 28 2019In this short note, we show that the Atiyah-Sutcliffe conjectures for $n = 2m$, related to the unitary groups $U(2m)$, imply the author's analogous conjectures, which are associated with the symplectic groups $Sp(m)$. The proof is based on the simple ... More

Random hypersurfaces and embedding curves in surfaces over finite fieldsOct 15 2015Jun 07 2016We use Poonen's closed point sieve to prove two independent results. First, we show that the obvious obstruction to embedding a curve in a smooth surface is the only obstruction over a perfect field, by proving the finite field analogue of a Bertini-type ... More

The symmetric property tau for the Gaussian measureNov 09 2010We give a proof based on the Poincar\'e inequality of the symmetric property tau for the Gaussian measure. This property turns out to be equivalent to a certain functional form of the Blaschke-Santal\'o inequality, as explained in a paper by Artstein, ... More

Steady and self similar full Euler flowNov 15 2012We consider solutions to the full (non-isentropic) two-dimensional Euler equations that are constant in time and along rays emanating from the origin. We prove that for a polytropic equation of state, entropy admissible solutions in $L^\infty$ with non-vanishing ... More

The complexity of the homeomorphism relation between compact metric spacesSep 19 2014We determine the exact complexity of classifying compact metric spaces up to homeomorphism. More precisely, the homeomorphism relation on compact metric spaces is Borel bi-reducible with the complete orbit equivalence relation of Polish group actions. ... More

The product formula for Lusternik-Schnirelmann categorySep 17 2001Nov 22 2001If C=C_\phi denotes the mapping cone of an essential phantom map \phi from the suspension of the Eilenberg-Mac Lane complex K=K(Z,5) to the 4-sphere S=S^4 we derive the following properties: (1) The LS category of the product of C with any n-sphere S^n ... More

The Theory of Witt VectorsSep 26 2014This is an introduction to the theory of Witt vectors. It includes a construction of the Witt rings, the Frobenius and Verschiebung endomorphisms, the canonical map from W to W^2 (its lambda-algebra structure), the relation to strict p-rings, and an account ... More

Moments of the Gaussian ChaosNov 09 2010This paper deals with Lata{\l}a's estimation of the moments of Gaussian chaoses. It is shown that his argument can be simplified significantly using Talagrand's generic chaining.

Deformations of algebras defined by tilting bundlesMay 15 2015In this paper we produce noncommutative algebras derived equivalent to deformations of schemes with tilting bundles. We do this in two settings, first proving that a tilting bundle on a scheme lifts to a tilting bundle on an infinitesimal deformations ... More

Non-trivial matrix actions preserve normality for continued fractionsApr 20 2015A seminal result due to Wall states that if $x$ is normal to a given base $b$ then so is $rx+s$ for any rational numbers $r,s$ with $r\neq 0$. We show that a stronger result is true for normality with respect to the continued fraction expansion. In particular, ... More

Uncanny subsequence selections that generate normal numbersJul 12 2016Given a real number $0.a_1a_2 a_3\dots$ that is normal to base $b$, we examine increasing sequences $n_i$ so that the number $0.a_{n_1}a_{n_2}a_{n_3}\dots$ are normal to base $b$. Classically it is known that if the $n_i$ form an arithmetic progression ... More

A Center-Median Filtering Method for Detection of Temporal Variation in Coronal ImagesNov 13 2015Jan 29 2016Events in the solar corona are often widely separated in their timescales, which can allow them to be identified when they would otherwise be confused with emission from other sources in the corona. Methods for cleanly separating such events based on ... More

A new length estimate for curve shortening flow and low regularity initial dataFeb 24 2011Dec 01 2011In this paper we introduce a geometric quantity, the $r$-multiplicity, that controls the length of a smooth curve as it evolves by curve shortening flow. The length estimates we obtain are used to prove results about the level set flow in the plane. If ... More

Finite Groups With Maximal Normalizers IMay 23 2009Jun 02 2009We examine $p$-groups with the property that every non-normal subgroup has a normalizer which is a maximal subgroup. In particular we show that for such a $p$-group $G$, when $p=2$, the center of $G$ has index at most 16 and when $p$ is odd the center ... More

Sacler lecturesJan 31 1995The series of three lectures given at Tel-Aviv University in 1992: 1. Tensor categories. 2. Quantum groups. 3. Topological (quantum) field theories. Published as the preprint IAS 897-92 of Tel-Aviv University and The Mortimer and Raymond Sacler Institute ... More

A note on dark matter and dark energyOct 30 2013Since the geometry of our universe seems to depend very little on baryonic matter, we consider a variational principle involving only dark matter and dark energy which in addition make them depend on each other. There are no adjustable parameters or scalar ... More

Wick Rotation in the Tangent SpaceOct 26 2015Wick rotation is usually performed by rotating the time coordinate to imaginary values. In a general curved spacetime, the notion of a time coordinate is ambiguous. We note here, that within the tetrad formalism of general relativity, it is possible to ... More

Lattice formulations of supersymmetric gauge theories with matter fieldsSep 30 2014Certain classes of supersymmetric gauge theories, including the well known N=4 supersymmetric Yang-Mills theory, that takes part in the AdS/CFT correspondence, can be formulated on a Euclidean spacetime lattice using the techniques of exact lattice supersymmetry. ... More

Lattice formulation of three-dimensional ${\cal N}=4$ gauge theory with fundamental matter fieldsJul 11 2013Sep 15 2013We construct lattice action for three-dimensional ${\cal N}=4$ supersymmetric gauge theory with matter fields in the fundamental representation.

Supersymmetric Yang--Mills theories with exact supersymmetry on the latticeOct 27 2011Dec 24 2011Inspired by the ideas from topological field theory it is possible to rewrite the supersymmetric charges of certain classes of extended supersymmetric Yang--Mills (SYM) theories in such a way that they are compatible with the discretization on a Euclidean ... More

The component sizes of a critical random graph with given degree sequenceDec 10 2010Sep 11 2014Consider a critical random multigraph $\mathcal{G}_n$ with $n$ vertices constructed by the configuration model such that its vertex degrees are independent random variables with the same distribution $\nu$ (criticality means that the second moment of ... More

The integrality of an adapted pairFeb 19 2014Let $\mathfrak a$ be an algebraic Lie algebra. An adapted pair for $\mathfrak a$ is pair $(h,\eta)$ consisting of an ad-semisimple element of $h \in \mathfrak a$ and a regular element of $\eta \in \mathfrak a^*$ satisfying $(ad \ h)\eta=-\eta$. An adapted ... More

Supersymmetric quiver gauge theories on the latticeNov 20 2013Jan 21 2014In this paper we detail the lattice constructions of several classes of supersymmetric quiver gauge theories in two and three Euclidean spacetime dimensions possessing exact supersymmetry at finite lattice spacing. Such constructions are obtained through ... More

Analogue Zhelobenko Invariants and the Kostant Clifford Algebra ConjectureNov 15 2011Let g be a complex simple Lie algebra and h a Cartan subalgebra. The Clifford algebra C(g) of g admits a Harish-Chandra map. Kostant conjectured (as communicated to Bazlov in about 1997) that the value of this map on a (suitably chosen) fundamental invariant ... More

The Last Eight Minutes of a Primordial Black HoleNov 16 1999About eight minutes before a black hole expires it has a decreasing mass of 10^{10} g, an increasing temperature of 1 TeV, and an increasing luminosity of 7x10^{27} erg/s. I show that such a black hole is surrounded by a quasi-stationary shell of matter ... More

Aether Theory Clock Retardation vs. Special Relativity Time DilationNov 07 2006Dec 14 2008Assuming a model of aether non-entrained by the motion of celestial bodies, one can provide a rational explanation of the experimental processes affecting the measurement of time when clocks are in motion. Contrary to special relativity, aether theory ... More

General Transformations of Space and Time according to Aether TheoryMar 09 2010Nov 18 2010Assuming the existence of a preferred aether frame and the anisotropy of the one-way speed of light in platforms different from the aether frame, we derive the space and time transformations relative to bodies moving in any direction of space and not ... More

Aether Theory and the Principle of RelativityJul 07 2006Mar 27 2008This paper completes and comments on some aspects of our previous publications. In ref [1], we have derived a set of space-time transformations referred to as the extended space-time transformations. These transformations, which assume the existence of ... More

The coefficient field in the nilpotence conjecture for toric varietiesNov 11 2002The main result of the work ``The nilpotence conjecture in K-theory of toric varieties'' is extended to all coefficient fields of characteristic 0, thus covering the class of genuine toric varieties.

Formation and evolution of disk galaxiesSep 02 2008Global star formation is the key to understanding galaxy disk formation. This in turn depends on gravitational instability of disks and continuing gas accretion as well as minor merging. A key component is feedback from supernovae. Primary observational ... More

Ultraluminous Starbursts from SMBH-induced outflowsSep 06 2005Dec 06 2005I argue that there are two modes of global star formation. Disks and smaller spheroids form stars relatively inefficiently as a consequence of supernova-triggered negative feedback via a sequence of ministarbursts (S mode), whereas massive spheroids formed ... More

The Cosmic Microwave BackgroundDec 12 2002I review the discovery of the temperature fluctuations in the cosmic microwave background radiation. The underlying theory and the implications for cosmology are reviewed, and I describe the prospects for future progress.

Challenges in Cosmology from the Big Bang to Dark Energy, Dark Matter and Galaxy FormationNov 29 2016I review the current status of Big Bang Cosmology, with emphasis on current issues in dark matter, dark energy, and galaxy formation. These topics motivate many of the current goals of experimental cosmology which range from targeting the nature of dark ... More

Formation and Evolution of Disk GalaxiesOct 16 2002I review several of the current issues in the theory of disk galaxy formation. There is sti ll much to be done, observationally and theoretically, before we can expect to approach an understanding of disk galaxies that is reliable enough to make robust ... More

The Formation of Galaxy DisksOct 31 2000Galaxy disk formation must incorporate the multiphase nature of the interstellar medium. The resulting two-phase structure is generated and maintained by gravitational instability and supernova energy input, which yield a source of turbulent viscosity ... More

Baryonic Dark MatterJul 07 1994In the first two of these lectures, I present the evidence for baryonic dark matter and describe possible forms that it may take. The final lecture discusses formation of baryonic dark matter, and sets the cosmological context.

Aspects of Galaxy FormationDec 13 2001I describe some of the current challenges in galaxy formation theory with applications to formation of disks and of spheroids. Forthcoming deep surveys of galaxies with Keck and VLT will provide high quality spectra of $\sim 10^5$ galaxies that will probe ... More

Seven Paradigms in Structure FormationMar 25 1999Have we converged on the definitive model of cosmology? I present a critical assessment of the current paradigms for the evolution of large-scale structure.