Search Results - "Chhaibi, Reda"

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    Quantum SL2, infinite curvature and Pitman’s 2M-X theorem by Chapon, François, Chhaibi, Reda

    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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    Emergence of Jumps in Quantum Trajectories via Homogenization by Benoist, Tristan, Bernardin, Cédric, Chetrite, Raphaël, Chhaibi, Reda, Najnudel, Joseph, Pellegrini, Clément

    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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    Algebra of Nonlocal Boxes and the Collapse of Communication Complexity by Botteron, Pierre, Broadbent, Anne, Chhaibi, Reda, Nechita, Ion, Pellegrini, Clément

    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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    Non-Archimedean Whittaker Functions as Characters: A Probabilistic Approach to the Shintani–Casselman–Shalika Formula by Chhaibi, Reda

    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 by Chhaibi, Reda, Najnudel, Joseph, Nikeghbali, Ashkan

    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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    A note on a Poissonian functional and a $q$-deformed Dufresne identity by Chhaibi, Reda

    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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    Spiking and collapsing in large noise limits of SDEs by Bernardin, Cédric, Chetrite, Raphaël, Chhaibi, Reda, Najnudel, Joseph, Pellegrini, Clément

    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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    Emergence of jumps in quantum trajectories via homogeneization by Benoist, Tristan, Bernardin, Cedric, Chétrite, Raphaël, Chhaibi, Reda, Najnudel, Joseph, Pellegrini, Clément

    “…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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    Journal Article
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    The Limiting Characteristic Polynomial of Classical Random Matrix Ensembles by Chhaibi, Reda, Hovhannisyan, Emma, Najnudel, Joseph, Nikeghbali, Ashkan, Rodgers, Brad

    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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    Scattering of the Toda system and the Gaussian $\beta$-ensemble by Chhaibi, Reda

    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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    A limiting characteristic polynomial of some random matrix ensembles by Chhaibi, Reda, Hovhannisyan, Emma, Najnudel, Joseph, Nikeghbali, Ashkan, Rodgers, Brad

    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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    Statistical Edge Detection And UDF Learning For Shape Representation by Foy, Virgile, Gamboa, Fabrice, Chhaibi, Reda

    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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    Algebra of Nonlocal Boxes and the Collapse of Communication Complexity by Botteron, Pierre, Broadbent, Anne, Chhaibi, Reda, Nechita, Ion, Pellegrini, Clément

    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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    Non-Archimedean Whittaker functions as characters: a probabilistic approach to the Shintani-Casselman-Shalika formula by Chhaibi, Reda

    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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    Beta-gamma algebra identities and Lie-theoretic exponential functionals of Brownian motion by Chhaibi, Reda

    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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