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Quantitative Logic ReasoningMay 14 2019In this paper we show several similarities among logic systems that deal simultaneously with deductive and quantitative inference. We claim it is appropriate to call the tasks those systems perform as Quantitative Logic Reasoning. Analogous properties ... More

Semantic Parsing: Syntactic assurance to target sentence using LSTM Encoder CFG-DecoderJul 18 2018Semantic parsing can be defined as the process of mapping natural language sentences into a machine interpretable, formal representation of its meaning. Semantic parsing using LSTM encoder-decoder neural networks have become promising approach. However, ... More

Semantic Parsing Natural Language into SPARQL: Improving Target Language Representation with Neural AttentionMar 12 2018Semantic parsing is the process of mapping a natural language sentence into a formal representation of its meaning. In this work we use the neural network approach to transform natural language sentence into a query to an ontology database in the SPARQL ... More

Classical and quantum satisfiabilityMar 28 2012We present the linear algebraic definition of QSAT and propose a direct logical characterization of such a definition. We then prove that this logical version of QSAT is not an extension of classical satisfiability problem (SAT). This shows that QSAT ... More

Using syntactical and logical forms to evaluate textual inference competenceMay 10 2019In the light of recent breakthroughs in transfer learning for Natural Language Processing, much progress was achieved on Natural Language Inference. Different models are now presenting high accuracy on popular inference datasets such as SNLI, MNLI and ... More

Using syntactical and logical forms to evaluate textual inference competenceMay 10 2019May 17 2019Ongoing research on natural language inference where we propose a new set of tasks that require specific capacities over linguistic logical forms such as i) Boolean coordination, ii) quantifiers, iii) definitive description, and iv) counting operators. ... More

Towards an efficient prover for the C1 paraconsistent logicFeb 19 2012The KE inference system is a tableau method developed by Marco Mondadori which was presented as an improvement, in the computational efficiency sense, over Analytic Tableaux. In the literature, there is no description of a theorem prover based on the ... More

Drake Equation for the Multiverse: From the String Landscape to Complex LifeFeb 08 2010It is argued that selection criteria usually referred to as "anthropic conditions" for the existence of intelligent (typical) observers widely adopted in cosmology amount only to preconditions for primitive life. The existence of life does not imply in ... More

What We Know and What We Don't Know About the UniverseJan 12 2004I present a non-technical and necessarily biased and incomplete overview of our present understanding of the physical universe and its constituents, emphasizing what we have learned from the explosive growth in cosmological and astrophysical data acquisition ... More

On the Strength of First Order Phase TransitionsMay 11 1994Electroweak baryogenesis may solve one of the most fundamental questions we can ask about the universe, that of the origin of matter. It has become clear in the past few years that it also poses a multi-faceted challenge. In order to compute the tiny ... More

Baryogenesis in BriefJul 25 1994In this talk I briefly review the main ideas and challenges involved in the computation of the baryon asymmetry of the Universe. (Invited talk given at ``The Birth of the Universe and Fundamental Physics'', Rome, May 18--21, 1994.)

Interplay between quasi-periodicity and disorder in quantum spin chains in a magnetic fieldJan 24 2002We study the interplay between disorder and a quasi periodic coupling array in an external magnetic field in a spin-1/2 XXZ chain. A simple real space decimation argument is used to estimate the magnetization values where plateaux show up. The latter ... More

A simple theorem to generate exact black hole solutionsApr 02 2003Oct 17 2003Under certain conditions imposed on the energy-momentum tensor, a theorem that characterizes a two-parameter family of static and spherically symmetric solutions to Einstein's field equations (black holes), is proved. A discussion on the asymptotics, ... More

Las antenas de espacio profundo en la ArgentinaMar 14 2018Since December 2012, the Deep Space Antenna DS3 of the European Space Agency was inaugurated in the province of Mendoza. The possibility of using this equipment for space and scientific activities was promoted by our country. Several scientific institutions ... More

Compact Lie algebras, transversely Lie foliations and fibrationsOct 06 2009Jul 15 2010We study Lie foliations on compact manifolds, in case the Lie group is compact. Our main results improve Tischler classical result on the existence of fibration and, as an application, we study the case the manifold has an amenable fundamental group.

Topological Quasi-Group ShiftsJan 14 2014In this work we characterize those shift spaces which can support a 1-block quasi-group operation and show the analogous of Kitchens result: any such shift is conjugated to a product of a full shift with a finite shift. Moreover, we prove that every expansive ... More

On the linear and weak-field limits of scalar-tensor theories of gravityFeb 21 2002The linear approximation of scalar-tensor theories of gravity is obtained in the physical (Jordan) frame under the 4+0 (covariant) and 3+1 formalisms. Then the weak-field limit is analyzed and the conditions leading to significant deviations of the $1/r^{2}$ ... More

The Origin of Baryonic Matter in the Universe: A Brief ReviewFeb 13 1996I briefly review the main ideas and challenges involved in the computation of the observed baryonic asymmetry of the Universe.

d-dimensional Oscillating Scalar Field Lumps and the Dimensionality of SpaceAug 28 2004Extremely long-lived, time-dependent, spatially-bound scalar field configurations are shown to exist in $d$ spatial dimensions for a wide class of polynomial interactions parameterized as $V(\phi) = \sum_{n=1}^h\frac{g_n}{n!}\phi^n$. Assuming spherical ... More

Dynamics of Weak First Order Phase TransitionsMar 18 1994The dynamics of weak vs. strong first order phase transitions is investigated numerically for 2+1 dimensional scalar field models. It is argued that the change from a weak to a strong transition is itself a (second order) phase transition, with the order ... More

Maximum-a-posteriori estimation with Bayesian confidence regionsFeb 27 2016Jul 11 2016Solutions to inverse problems that are ill-conditioned or ill-posed may have significant intrinsic uncertainty. Unfortunately, analysing and quantifying this uncertainty is very challenging, particularly in high-dimensional problems. As a result, while ... More

An Axiomatics and a Combinatorial Model of Creation/Annihilation OperatorsJun 21 2015A categorical axiomatic theory of creation/annihilation operators on bosonic Fock space is introduced and the combinatorial model that motivated it is presented. Commutation relations and coherent states are considered in both frameworks.

Analytic functors between presheaf categories over groupoidsMar 22 2013Jun 20 2013The paper studies analytic functors between presheaf categories. Generalising results of A. Joyal and of R. Hasegawa for analytic endofunctors on the category of sets, we give two characterisations of analytic functors between presheaf categories over ... More

Vlasov's beams and multivector Grassmann StaticsNov 10 2018A novel formulation of statics in terms of the exterior algebra of an affine space is shown to be the underlying mathematical structure of Vlasov's thin-walled beam theory in structural mechanics.

A Java Application to Characterize Biomolecules and Nanomaterials in Electrolyte Aqueous SolutionsJan 19 2018The electrostatic, entropic and surface interactions between a macroion (nanoparticle or biomolecule), surrounding ions and water molecules play a fundamental role in the behavior and function of colloidal systems. However, the molecular mechanisms governing ... More

The Inertial Polarization Principle: The Mechanism Underlying Sonoluminescence?Mar 11 2001In this paper we put forward a mechanism in which imploding shock waves emit electromagnetic radiation in the spectral region $\lambda_{0}\cong 2\pi R_{0}.$, where R$_{0}$ is the radius of the shock by the time it is first formed. The mechanism relies ... More

Charge Fluctuations of a Schwarzschild Black-HoleJul 09 2015Jul 12 2015In this paper we calculate charge fluctuations of a Schwarzschild black-hole of mass $M$ in thermal equilibrium with radiation and an electron-positron plasma confined within a vessel of radius R. We show that charge fluctuations are always present, even ... More

Constrained ballistics and geometrical opticsApr 08 2014The problem of constant-speed ballistics is studied under the umbrella of non-linear non-holonomic constrained systems. The Newtonian approach is shown to be equivalent to the use of Chetaev's rule to incorporate the constraint within the initially unconstrained ... More

Right-Permutative Cellular Automata on Topological Markov ChainsMar 14 2006Feb 14 2017In this paper we consider cellular automata $(\mathfrak{G},\Phi)$ with algebraic local rules and such that $\mathfrak{G}$ is a topological Markov chain which has a structure compatible to this local rule. We characterize such cellular automata and study ... More

Standard decomposition of expansive ergodically supported dynamicsJan 30 2012Jun 04 2014In this work we introduce the notion of weak quasigroups, that are quasigroup operations defined almost everywhere on some set. Then we prove that the topological entropy and the ergodic period of an invertible expansive ergodically supported dynamical ... More

Pseudo-Stable BubblesAug 16 1993The evolution of spherically symmetric unstable scalar field configurations (``bubbles'') is examined for both symmetric (SDWP) and asymmetric (ADWP) double-well potentials. Bubbles with initial static energies $E_0\la E_{{\rm crit}}$, where $E_{{\rm ... More

Two Lectures On Phase MixingFeb 03 1998The dynamics of phase transitions plays a crucial r\^ole in the so-called interface between high energy particle physics and cosmology. Many of the interesting results generated during the last fifteen years or so rely on simplified assumptions concerning ... More

Dynamics of spherically symmetric spacetimes: hydrodynamics and radiationJan 18 2002Using the 3+1 formalism of general relativity we obtain the equations governing the dynamics of spherically symmetric spacetimes with arbitrary sources. We then specialize for the case of perfect fluids accompanied by a flow of interacting massless or ... More

Revisiting maximum-a-posteriori estimation in log-concave modelsDec 19 2016Jan 18 2019Maximum-a-posteriori (MAP) estimation is the main Bayesian estimation methodology in imaging sciences, where high dimensionality is often addressed by using Bayesian models that are log-concave and whose posterior mode can be computed efficiently by convex ... More

Charge Fluctuations of an Uncharged Black HoleAug 02 2016In this paper we calculate charge fluctuations of a Schwarzschild black-hole of mass $M$ confined within a perfectly reflecting cavity of radius R in thermal equilibrium with various species of radiation and fermions . Charge conservation is constrained ... More

Notes on the flexible manipulatorDec 04 2013The existence of solutions to the boundary tracking of the displacement at one end of a linear Timoshenko beam is discussed on the basis of the Cauchy problem with time and space interchanged.

Ill-distributed sets over global fields and exceptional sets in Diophantine GeometryJan 03 2019Let $K\subseteq \mathbb{R}$ be a number field. Using techniques of discrete analysis, we prove that for definable sets $X$ in $\mathbb{R}_{\exp}$ of dimension at most $2$ a conjecture of Wilkie about the density of rational points is equivalent to the ... More

The Cauchy problem of scalar-tensor theories of gravityAug 31 2005Aug 07 2006The 3+1 formulation of scalar-tensor theories of gravity (STT) is obtained in the physical (Jordan) frame departing from the 4+0 covariant field equations. Contrary to the common belief (folklore), the new system of ADM-like equations shows that the Cauchy ... More

Oscillons in Scalar Field Theories: Applications in Higher Dimensions and InflationFeb 19 2006The basic properties of oscillons -- localized, long-lived, time-dependent scalar field configurations -- are briefly reviewed, including recent results demonstrating how their existence depends on the dimensionality of spacetime. Their role on the dynamics ... More

Reply to Comment on ``Dynamics of Weak First Order Phase Transitions''Nov 09 1995A reply to a Comment by Harris and Jungman (Phys. Rev. Lett. 75 (1995), 588), concerning my work on phase mixing and its implications to the dynamics of ``weak'' first order phase transitions.

Thermal Mixing of Phases: Numerical and Analytical StudiesJul 14 1995The dynamics of phase transitions plays a crucial r\^ole in the so-called interface between high energy particle physics and cosmology. Many of the interesting results generated during the last fifteen years or so rely on simplified assumptions concerning ... More

From Cosmos to Intelligent Life: The Four Ages of AstrobiologyFeb 22 2012Mar 02 2012The history of life on Earth and in other potential life-bearing planetary platforms is deeply linked to the history of the universe. Since life as we know it relies on chemical elements forged in dying heavy stars, the universe needs to be old enough ... More

Phase Transitions in the UniverseMar 09 1998During the past two decades, cosmologists turned to particle physics in order to explore the physics of the very early Universe. The main link between the physics of the smallest and largest structures in the Universe is the idea of spontaneous symmetry ... More

Right-Permutative Cellular Automata on Topological Markov ChainsMar 14 2006Jun 08 2007In this paper we consider cellular automata $(\mathfrak{G},\Phi)$ with algebraic local rules and such that $\mathfrak{G}$ is a topological Markov chain which has a structure compatible to this local rule. We characterize such cellular automata and study ... More

Black Hole Area Quantization rule from Black Hole Mass FluctuationsDec 06 2016We calculate the black hole mass distribution function that follows from the random emission of quanta by Hawking radiation and with this function we calculate the black hole mass fluctuation. From a complete different perspective we regard the black ... More

The random walks of a Schwarzschild black holeJun 19 1997We show that spinless and neutral black holes in thermal equilibrium with radiation undergo fluctuations of charge and angular momentum. The corresponding spreads for a black hole in contact with charged scalar particles is calculated. The angular momentum ... More

Frontiers of Condensed Matter Physics Explored with High-Field Specific HeatApr 06 2010Production of very high magnetic fields in the laboratory has relentlessly increased in quantity and quality over the last five decades, and a shift occurred from research focused in magnet technology to studies of the fundamental physics of novel materials ... More

Asymmetric Spatiotemporal Evolution of Prebiotic HomochiralityJun 23 2006Nov 13 2006The role of asymmetry on the evolution of prebiotic homochirality is investigated in the context of autocatalytic polymerization reaction networks. A model featuring enantiometric cross-inhibition and chiral bias is used to study the diffusion equations ... More

Dilaton Gravity with a Non-Minimally Coupled Scalar FieldOct 11 1995We discuss the two-dimensional dilaton gravity with a scalar field as the source matter. The coupling between the gravity and the scalar, massless, field is presented in an unusual form. We work out two examples of these couplings, and solutions with ... More

Infinitesimal bialgebras, pre-Lie and dendriform algebrasNov 05 2002Nov 16 2002We introduce the categories of infinitesimal Hopf modules and bimodules over an infinitesimal bialgebra. We show that they correspond to modules and bimodules over the infinitesimal version of the double. We show that there is a natural, but non-obvious ... More

An Equational Metalogic for Monadic Equational SystemsSep 18 2013The paper presents algebraic and logical developments. From the algebraic viewpoint, we introduce Monadic Equational Systems as an abstract enriched notion of equational presentation. From the logical viewpoint, we provide Equational Metalogic as a general ... More

An abstract characterization of Thompson's group FAug 30 2005Jan 13 2010We show that Thompson's group F is the symmetry group of the "generic idempotent". That is, take the monoidal category freely generated by an object A and an isomorphism A \otimes A --> A; then F is the group of automorphisms of A.

Loss-Deviation risk measuresNov 22 2015In this paper we present a class of risk measures composed of coherent risk measures with generalized deviation measures. Based on the Limitedness axiom, we prove that this set is a sub-class of coherent risk measures. We present extensions of this result ... More

A Class of Nonperturbative Configurations in Abelian-Higgs Models: Complexity from Dynamical Symmetry BreakingAug 04 2008We present a numerical investigation of the dynamics of symmetry breaking in both Abelian and non-Abelian $[S U (2)]$ Higgs models in three spatial dimensions. We find a class of time-dependent, long-lived nonperturbative field configurations within the ... More

Running-mode resonance in A.C.-biased periodic potentialJan 21 2008We investigate the stochastic dynamics of a particle in the presence of a modulated sinusoidal potential. Using the time derivative of the winding number, we quantify the particle's motion according to its running time, the time it runs monotonically ... More

A Phase Transition in U(1) Configuration Space: Oscillons as Remnants of Vortex-Antivortex AnnihilationJan 31 2007We show that the low-momentum scattering of vortex-antivortex pairs can lead to very long-lived oscillon states in 2d Abelian Higgs models. The emergence of oscillons is controlled by the ratio of scalar and vector field masses, $\beta=(m_s/m_v)^2$ and ... More

Energy Landscape of d-Dimensional Q-ballsMay 27 2005Feb 15 2006We investigate the properties of $Q$-balls in $d$ spatial dimensions. First, a generalized virial relation for these objects is obtained. We then focus on potentials $V(\phi\phi^{\dagger})= \sum_{n=1}^{3} a_n(\phi\phi^{\dagger})^n$, where $a_n$ is a constant ... More

Reply to "Comment on Renormalization group picture of the Lifshitz critical behaviors"Jun 10 2003We reply to a recent comment by Diehl and Shpot (cond-mat/0305131) criticizing a new approach to the Lifshitz critical behavior just presented (M. M. Leite Phys. Rev. B 67, 104415(2003)). We show that this approach is free of inconsistencies in the ultraviolet ... More

Feynman Diagrams and a Combination of the Integration by Parts (IBP) and the Integration by Fractional Expansion (IBFE) TechniquesSep 18 2009Dec 31 2009In this paper we show how to improve and extend the Integration by Fractional Expansion technique (IBFE) by applying it to certain families of scalar massive Feynman diagrams. The strategy is based on combining this method together with the Integration ... More

Average sex ratio and population maintenance costApr 13 2010Jul 17 2010The ratio of males to females in a population is a meaningful characteristic of sexual species. The reason for this biological property to be available to the observers of nature seems to be a question never asked. Introducing the notion of historically ... More

The gravitational light shift and the Sachs-Wolfe effectMay 03 2011Using a 3+1 decomposition of spacetime, we derive a new formula to compute the gravitational light shifts as measured by two observers which are normal to the spacelike hypersurfaces defining the foliation. This formula is quite general and is also independent ... More

Plaquette Order in the J1-J2-J3 model: a series expansion analysisAug 16 2008Series expansion based on the flow equation method is employed to study the zero temperature properties of the spin-1/2 J1-J2-J3 antiferromagnet in two dimensions. Starting from the exact limit of decoupled plaquettes in a particular generalized J1-J2-J3 ... More

Wither the sliding Luttinger liquid phase in the planar pyrochloreJun 05 2006Using series expansion based on the flow equation method we study the zero temperature properties of the spin-1/2 planar pyrochlore antiferromagnet in the limit of strong diagonal coupling. Starting from the limit of decoupled crossed dimers we analyze ... More

Gravitons, Dark Matter, and Classical GravitationJun 10 2008Aug 16 2009We find that the quantum of gravity, the graviton, has time-varying mass (the gomidium), and radius (the somium); both vary with the inverse of R; and its frequency is given by Hubble's parameter. Dark matter can be made of such gravitons. The number ... More

Pryce-Hoyle Tensor in a Combined Einstein-Cartan-Brans-Dicke ModelMay 04 2008Sep 27 2008In addition to introducing matter injection through a scalar field determined by Pryce-Hoyle tensor, we also combine it with a BCDE (Brans-Dicke-Einstein-Cartan) theory with lambdaterm developed earlier by Berman(2008), for inflationary scenario. It involves ... More

General Relativistic Machian UniverseMar 02 2008Jan 10 2009The Machian Universe, is usually described with Newtonian Physics, We give an alternative General Relativistic picture for Mach's Universe. As such, we show that, in the correct Machian limit, Schwarzschild's metric is coherent with Robertson-Walker's, ... More

Shear and Vorticity in Inflationary Brans-Dicke Cosmology with Lambda-TermMar 28 2007Aug 06 2008We find a solution for exponential inflation in Brans-Dicke cosmology endowed with a cosmological term, which includes time-varying shear and vorticity. We find that the scalar field and the scale factor increase exponentialy while shear, vorticity, energy ... More

On the Magnetic Field, and Entropy Increase, in a Machian UniverseNov 01 2006Nov 20 2006By means of the experimental result on the present equipartition between background microwave radiation energy and that of the interstellar magnetic field, and by advancing a Machian relation for the magnetic field, which, differently than in other authors' ... More

On the Machian Origin of InertiaSep 03 2006Sep 27 2008We examine Sciama's inertia theory: we generalise it, by combining rotation and expansion in one unique model, we find the angular speed of the Universe, and we stress that the theory is zero-total-energy valued. We compare with other theories of the ... More

Shear and Vorticity in a Combined Einstein-Cartan-Brans-Dicke Inflationary Lambda-UniverseJul 02 2006Aug 06 2008A combined BCDE (Brans-Dicke and Einstein-Cartan) theory with lambda-term is developed through Raychaudhuri's equation, for inflationary scenario. It involves a variable cosmological constant, which decreases with time, jointly with energy density, cosmic ... More

Cosmological Model for the Very Early Universe in B.D. TheoryMay 17 2006Following a paper by Berman and Marinho Jr (2001), where it was established an equation of state (p=-(1/3)rho), for the very early Universe, under which, Einstein's equations with lambda=0, render a scale-factor proportional to the time coordinate, and ... More

On the Rotational and Machian Properties of the UniverseOct 01 2006Jul 11 2008We find a Classical explanation on the origin of the Cosmological "constant" term, as a rotating feature of the Universe. We give a picture on "creation" of the Universe. By analogy with the original Brans-Dicke relation, several other similar relations ... More

Cylindrical contact homology and topological entropySep 12 2014Aug 18 2015We establish a relation between the growth of the cylindrical contact homology of a contact manifold and the topological entropy of Reeb flows on this manifold. We show that if a contact manifold $(M,\xi)$ admits a hypertight contact form $\lambda_0$ ... More

Think Again Networks and the Delta LossApr 26 2019Apr 30 2019This short paper introduces an abstraction called Think Again Networks (ThinkNet) which can be applied to any state-dependent function (such as a recurrent neural network).

Scalar hairy black holes and solitons in asymptotically flat spacetimesJan 17 2003Mar 04 2003A numerical analysis shows that a class of scalar-tensor theories of gravity with a scalar field minimally and nonminimally coupled to the curvature allows static and spherically symmetric black hole solutions with scalar-field hair in asymptotically ... More

Re-Weighted $\ell_1$ Algorithms within the Lagrange Duality Framework: Bringing Interpretability to WeightsJun 21 2019We consider an important problem in signal processing, which consists in finding the sparsest solution of a linear system $\Phi x=b$. This problem has applications in several areas, but is NP-hard in general. Usually an alternative convex problem is considered, ... More

Lyapunov exponents of probability distributions with non-compact supportOct 06 2018We prove that the Lyapunov exponents, cosidered as functions of measures with non compact support, are semicontinuous with respect to the Wasserstein topology but not with respect to the weak* topology. Moreover, we prove that they are not continuous ... More

Supersymmetric Theories on a Non Simply Connected Space-TimeFeb 03 1995We study the Wess-Zumino theory on ${\bf R}^3 \times S^1$ where a spatial coordinate is compactified. We show that when the bosonic and fermionic fields satisfy the same boundary condition, the theory does not develop a vacuum energy or tadpoles. We work ... More

On the Derivative Expansion at Finite TemperatureJul 12 1994In this short note, we indicate the origin of nonanalyticity in the method of derivative expansion at finite temperature and discuss some of its consequences.

On the well-posedness of relativistic viscous fluidsOct 07 2013Jul 24 2014Using a simple and well-motivated modification of the stress-energy tensor for a viscous fluid proposed by Lichnerowicz, we prove that Einstein's equations coupled to a relativistic version of the Navier-Stokes equations are well-posed in a suitable Gevrey ... More

The primitive ideal space of the C*-algebra of the affine semigroup of algebraic integersJan 26 2012We give a complete description of the primitive ideal space of the C*-algebra associated to the ring of integers R in a number field K as considered in a recent paper by Cuntz, Deninger and Laca.

Structure of the Malvenuto-Reutenauer Hopf algebra of permutationsMar 27 2002Jun 06 2005We analyze the structure of the Malvenuto-Reutenauer Hopf algebra of permutations in detail. We give explicit formulas for its antipode, prove that it is a cofree coalgebra, determine its primitive elements and its coradical filtration, and show that ... More

Cocommutative Hopf algebras of permutations and treesMar 04 2004Mar 11 2005Consider the coradical filtrations of the Hopf algebras of planar binary trees of Loday and Ronco and of permutations of Malvenuto and Reutenauer. We give explicit isomorphisms showing that the associated graded Hopf algebras are dual to the cocommutative ... More

Structure of the Malvenuto-Reutenauer Hopf algebra of permutations (Extended Abstract)Mar 11 2002Mar 27 2002We analyze the structure of the Malvenuto-Reutenauer Hopf algebra of permutations in detail. We give explicit formulas for its antipode, prove that it is a cofree coalgebra, determine its primitive elements and its coradical filtration and show that it ... More

The associative operad and the weak order on the symmetric groupsNov 29 2005Oct 17 2006The associative operad is a certain algebraic structure on the sequence of group algebras of the symmetric groups. The weak order is a partial order on the symmetric group. There is a natural linear basis of each symmetric group algebra, related to the ... More

Existence and uniqueness of maximizing measures for robust classes of local diffeomorphismsJul 12 2006We prove existence of maximal entropy measures for an open set of non-uniformly expanding local diffeomorphisms on a compact Riemannian manifold. In this context the topological entropy coincides with the logarithm of the degree, and these maximizing ... More

The Farrell-Jones Isomorphism Conjecture in K-TheoryFeb 26 2012Mar 10 2012We prove that the Farrell-Jones isomorphism conjecture for non-connective algebraic K-theory for a discrete group G and a coefficient ring R holds true if G belongs to the class of groups acting on trees, under certain conditions on G (see theorem 0.5 ... More

Continuous shift commuting maps between ultragraph shift spacesFeb 13 2018Dec 14 2018Recently a generalization of shifts of finite type to the infinite alphabet case was proposed, in connection with the theory of ultragraph C*-algebras. In this work we characterize the class of continuous shift commuting maps between these spaces. In ... More

Application of moderate deviation techniques to prove Sinai's Theorem on RWREMar 28 2014We apply the techniques developed in Comets and Popov (2003) to present a new proof to Sinai's theorem (Sinai, 1982) on one-dimensional random walk in random environment (RWRE), working in a scale-free way to avoid rescaling arguments and splitting the ... More

On spectral properties for graph matching and graph isomorphism problemsSep 24 2014Sep 26 2014Problems related to graph matching and isomorphisms are very important both from a theoretical and practical perspective, with applications ranging from image and video analysis to biological and biomedical problems. The graph matching problem is challenging ... More

An Informational Approach to Cosmological Parameter EstimationMay 17 2019Jun 24 2019We introduce a new approach for cosmological parameter estimation based on the information-theoretical Jensen-Shannon Divergence (JSD), calculating it for models in the restricted parameter space {H0, w0, wa}, where H0 is the value of the Hubble constant ... More

A scenario for the electronic state in the manganase perovskites: the orbital correlated metalDec 10 1996May 12 1997We argue that, at low temperatures and well into the ferromagnetic phase, the physics of the manganase perovskites may be characterized by a correlated metallic state near a metal insulator transition where the orbital degrees of freedom play a main role. ... More

Entropic Measure for Localized Energy Configurations: Kinks, Bounces, and BubblesNov 23 2011Jun 04 2012We construct a configurational entropy measure in functional space. We apply it to several nonlinear scalar field models featuring solutions with spatially-localized energy, including solitons and bounces in one spatial dimension, and critical bubbles ... More

Thermal Phase Mixing During First Order Phase TransitionsOct 06 1994Oct 11 1994The dynamics of first order phase transitions are studied in the context of (3+1)-dimensional scalar field theories. Particular attention is paid to the question of quantifying the strength of the transition, and how `weak' and `strong' transitions have ... More

Weakly First Order Cosmological Phase Transitions and Fermion ProductionNov 16 1999Sep 17 2001We study weakly first order cosmological phase transitions in finite temperature field theories. Focusing on the standard electroweak theory and its minimal supersymmetric extension, we identify the regimes of Higgs masses for which the phase transition ... More

Matching numerical simulations to continuum field theories: A lattice renormalization studyJul 09 1996The study of nonlinear phenomena in systems with many degrees of freedom often relies on complex numerical simulations. In trying to model realistic situations, these systems may be coupled to an external environment which drives their dynamics. For nonlinear ... More

Simplicity of Lyapunov spectra: proof of the Zorich-Kontsevich conjectureAug 25 2005We prove the Zorich-Kontsevich conjecture that the non-trivial Lyapunov exponents of the Teichm\"uller flow on (any connected component of a stratum of) the moduli space of Abelian differentials on compact Riemann surfaces are all distinct. By previous ... More

Information Content of Spontaneous Symmetry BreakingMay 14 2012We propose a measure of order in the context of nonequilibrium field theory and argue that this measure, which we call relative configurational entropy (RCE), may be used to quantify the emergence of coherent low-entropy configurations, such as time-dependent ... More

The Apparent Fractal ConjectureSep 30 1999May 31 2000This short communication advances the hypothesis that the observed fractal structure of large-scale distribution of galaxies is due to a geometrical effect, which arises when observational quantities relevant for the characterization of a cosmological ... More

Relativistic Fractal CosmologiesOct 26 2009This article reviews an approach for constructing a simple relativistic fractal cosmology whose main aim is to model the observed inhomogeneities of the distribution of galaxies by means of the Lemaitre-Tolman solution of Einstein's field equations for ... More