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Multiterminal Statistical Inference: An Unsolved Problem
We describe an unsolved statistical inference problem involving two correlated signals x and y. When correlated random variables x and y are observed...
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Attempting perfect hypergraphs
We study several extensions of the notion of perfect graphs to k -uniform hypergraphs. One main definition extends to hypergraphs the notion of...
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The Role of Common Randomness in Information Theory and Cryptography: Secrecy Constraints
The first multi-user model of communication subject to secrecy constraints was Wyner’s (1975, Bell Syst Techn J 54:1355–1387) “wiretap channel”
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Łoskot-Rudnicki’s Inequality and General Relative Entropy Inequality for Cauchy Problems Preserving Positivity
The Generalized Relative Entropy inequality is a ubiquitous property in mathematical models applied in physics or biology. In spite of its...
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Epidemic modeling with heterogeneity and social diffusion
We propose and analyze a family of epidemiological models that extend the classic Susceptible-Infectious-Recovered/Removed (SIR)-like framework to...
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Geometric Convergence and Concentration Inequalities for the Feynman–Kac Genetic Algorithm
In this paper, we consider a genetic evolution model associated to a given Feynman–Kac flow (called also the simple genetic algorithm). We first...
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Probabilistic Refinement of the Asymptotic Spectrum of Graphs
The asymptotic spectrum of graphs, introduced by Zuiddam (Combinatorica, 2019), is the space of graph parameters that are additive under disjoint...
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On Logarithmically Asymptotically Optimal Testing of Hypotheses and Identification
We introduce a new aspect of the influence of the information-theoretical methods on the statistical theory. The procedures of the probability...
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Global Renormalised Solutions and Equilibration of Reaction–Diffusion Systems with Nonlinear Diffusion
The global existence of renormalised solutions and convergence to equilibrium for reaction–diffusion systems with nonlinear diffusion are...
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List of Publications for László Lovász
[1] On graphs not containing independent circuits. Mat. Lapok, 16:289–299 (in Hungarian).
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On zero-error codes produced by greedy algorithms
We present two greedy algorithms that determine zero-error codes and lower bounds on the zero-error capacity. These algorithms have many advantages,...
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One-Dimensional Theory
In dimension 1, the most complete regularity theory of hydrodynamic alignment models is available. In this chapter we discuss some of its highlights....
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Functional Inequalities: Nonlinear Flows and Entropy Methods as a Tool for Obtaining Sharp and Constructive Results
Interpolation inequalities play an essential role in analysis with fundamental consequences in mathematical physics, nonlinear partial differential...
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A Proof of Sanov’s Theorem via Discretizations
We present an alternative proof of Sanov’s theorem for Polish spaces in the weak topology that follows via discretization arguments. We combine the...
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Existence, Decay Time and Light Yield for a Reaction-Diffusion-Drift Equation in the Continuum Physics of Scintillators
A scintillator is a material which converts incoming ionizing energy into visible light. This conversion process, which is a strongly nonlinear one,...
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Some Connections Between Stochastic Mechanics, Optimal Control, and Nonlinear Schrödinger Equations
We first recall how the quantum mechanics of N particles is related, in the limit of large N, to certain nonlinear Schrödinger equations, used also...
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Transmission, Identification and Common Randomness Capacities for Wire-Tap Channels with Secure Feedback from the Decoder
We analyze wire-tap channels with secure feedback from the legitimate receiver.
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Calabi type functionals for coupled Kähler–Einstein metrics
We introduce the coupled Ricci–Calabi functional and the coupled H-functional which measure how far a Kähler metric is from a coupled Kähler–Einstein...
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Harnack Inequalities for Functional SDEs Driven by Subordinate Brownian Motions
Using coupling by change of measure and an approximation technique, Wang’s Harnack inequalities are established for a class of functional SDEs driven...
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Preliminaries
The arbitrarily varying channel (AVC) was introduced under a different name by Blackwell, Breiman, and Thomasian [1] and considerable progress has...