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Hardy's uncertainty principle and unique continuation property for stochastic heat equations
(EDP Sciences, 2020-02-14)
The goal of this paper is to prove a qualitative unique continuation property at two points in time for a stochastic heat equation with a randomly perturbed potential, which can be considered as a variant of Hardy’s ...
From Heisenberg uniqueness pairs to properties of the Helmholtz and Laplace equations
(Elsevier, 2018-09-07)
The aim of this paper is to establish uniqueness properties of solutions of the Helmholtz and Laplace equations. In particular, we show that if two solutions of such equations on a domain of Rd agree on two intersecting d ...
Classical approximation of a linearized three waves kinetic equation
(Elsevier, 2022-04-15)
The purpose of this work is to solve the Cauchy problem for the classical approximation of an isotropic linearized three waves kinetic equation that appears in the kinetic theory of a condensed gas of bosons near the ...
Size-Based Routing Policies: Non-Asymptotic Analysis and Design of Decentralized Systems
(MDPI, 2021-04-12)
Size-based routing policies are known to perform well when the variance of the distribution of the job size is very high. We consider two size-based policies in this paper: Task Assignment with Guessing Size (TAGS) and ...
A Fair and Scalable Mechanism for Resource Allocation: The Multilevel QPQ Approach
(IEEE, 2020-12-29)
In this paper the problem of distributing resources among a collection of users (or players) is explored. These players have independent preferences to get these resources and can be dishonest about their preferences in ...
Analysis of an optimal policy in dynamic bipartite matching models
(Elsevier, 2022-04)
[EN] A dynamic bipartite matching model is given by a bipartite matching graph which determines the possible matchings between the various types of supply and demand items. Both supply and demand items arrive to the system ...
Uniqueness for solutions of the Schrödinger equation on trees
(Fondazione Annali di Matematica Pura ed Applicata and Springer Nature, 2019-08-30)
We prove that if a solution of the time-dependent Schrödinger equation on an homogeneous tree with bounded potential decays fast at two distinct times then the solution is trivial. For the free Schrödinger operator, we use ...
Convexity properties of discrete Schrödinger evolutions
(Springer Nature, 2019-07-01)
In this paper, we give log-convexity properties for solutions to discrete Schrödinger equations with different discrete versions of Gaussian decay at two different times. For free evolutions, we use complex analysis arguments ...
A family of finite p-groups satisfying Carlson's depth conjecture
(Wiley, 2022-06)
Let p > 3 be a prime number and let r be an integer with 1 < r < p - 1. For each r, let moreover G(r) denote the unique quotient of the maximal class pro-p group of size p(r+1).We show that the mod-p cohomology ring of ...
Cohomologically Kähler manifolds with no Kähler metrics
(Hindawi Publishing Corporation, 2003)
We show some examples of compact symplectic solvmanifolds, of
dimension greater than four, which are cohomologically
Kähler and do not admit Kähler metric since their
fundamental groups cannot be the fundamental group ...