Search Results - "Chhaibi, Reda"
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Quantum SL2, infinite curvature and Pitman’s 2M-X theorem
Published in Probability theory and related fields (01-04-2021)“…The classical theorem by Pitman states that a Brownian motion minus twice its running infimum enjoys the Markov property. On the one hand, Biane understood…”
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Beta-gamma algebra identities and Lie-theoretic exponential functionals of Brownian motion
Published in Electronic journal of probability (19-10-2015)Get full text
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3
Emergence of Jumps in Quantum Trajectories via Homogenization
Published in Communications in mathematical physics (01-11-2021)“…In the strong noise regime, we study the homogenization of quantum trajectories i.e. stochastic processes appearing in the context of quantum measurement. When…”
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4
Rigidity of the $\operatorname{Sine} _{\beta }$ process
Published in Electronic communications in probability (01-01-2018)Get full text
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5
Algebra of Nonlocal Boxes and the Collapse of Communication Complexity
Published in Quantum (Vienna, Austria) (10-07-2024)“…Communication complexity quantifies how difficult it is for two distant computers to evaluate a function f ( X , Y ) , where the strings X and Y are…”
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6
On the maximum of the CβE field
Published in Duke mathematical journal (01-09-2018)Get full text
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7
Quantum $$ SL _2$$, infinite curvature and Pitman’s 2M-X theorem
Published in Probability theory and related fields (01-04-2021)Get full text
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8
Non-Archimedean Whittaker Functions as Characters: A Probabilistic Approach to the Shintani–Casselman–Shalika Formula
Published in International mathematics research notices (01-04-2017)“…Let G be reductive group over a non-Archimedean local field (e.g., GL(n)(Q(p))) and G(boolean OR)(C) its Langlands dual. Jacquet's Whittaker function on G is…”
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The circular unitary ensemble and the Riemann zeta function: the microscopic landscape and a new approach to ratios
Published in Inventiones mathematicae (2017)“…We show in this paper that after proper scalings, the characteristic polynomial of a random unitary matrix converges to a random analytic function whose zeros,…”
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10
A note on a Poissonian functional and a $q$-deformed Dufresne identity
Published in Electronic communications in probability (01-01-2016)“…In this note, we compute the Mellin transform of a Poissonian exponential functional, the underlying process being a simple continuous time random walk. It…”
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11
A Hörmander condition for delayed stochastic differential equations
Published in Annales Henri Lebesgue (11-09-2020)Get full text
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12
Spiking and collapsing in large noise limits of SDEs
Published in The Annals of applied probability (01-02-2023)“…We analyze the strong noise limit of one-dimensional stochastic differential equations (SDEs). Our initial motivation comes from continuous measurements of…”
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13
Emergence of jumps in quantum trajectories via homogeneization
Published in Communications in mathematical physics (2021)“…In the strong noise regime, we study the homogeneization of quantum trajectories i.e. stochastic processes appearing in the context of quantum measurement…”
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14
The Limiting Characteristic Polynomial of Classical Random Matrix Ensembles
Published in Annales Henri Poincaré (10-04-2019)“…We demonstrate the convergence of the characteristic polynomial of several random matrix ensembles to a limiting universal function, at the microscopic scale…”
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15
Scattering of the Toda system and the Gaussian $\beta$-ensemble
Published 13-05-2024“…The classical Toda flow is a well-known integrable Hamiltonian system that diagonalizes matrices. By keeping track of the distribution of entries and precise…”
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16
A limiting characteristic polynomial of some random matrix ensembles
Published in Annales Henri Poincaré (2019)“…We prove a general limit theorem for the convergence of random entire functions with zeros that are point processes tending to the sine-kernel process. In…”
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17
Statistical Edge Detection And UDF Learning For Shape Representation
Published 06-05-2024“…In the field of computer vision, the numerical encoding of 3D surfaces is crucial. It is classical to represent surfaces with their Signed Distance Functions…”
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18
Algebra of Nonlocal Boxes and the Collapse of Communication Complexity
Published 14-06-2024“…Quantum 8, 1402 (2024) Communication complexity quantifies how difficult it is for two distant computers to evaluate a function f(X,Y), where the strings X and…”
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19
Non-Archimedean Whittaker functions as characters: a probabilistic approach to the Shintani-Casselman-Shalika formula
Published 30-06-2016“…Int Math Res Notices (2016) For a reductive group $G$ over a non-Archimedean local field (e.g $GL_n( \mathbb{Q}_p )$ ), Jacquet's Whittaker function is…”
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20
Beta-gamma algebra identities and Lie-theoretic exponential functionals of Brownian motion
Published 27-04-2016“…Electron. J. Probab. 20 (2015), no. 108, pages 1-20 We explicitly compute the exit law of a certain hypoelliptic Brownian motion on a solvable Lie group. The…”
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