arXiv math.PR Probability
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arXiv math.PR Probability
@mathPRb
Unofficial bot by @vela with github.com/so-okada/twXiv. @mathMPb @mathNAb @mathNTb @mathOAb @mathOCb @mathQAb @mathRAb @mathRTb @mathSGb @mathSPb ...
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    arXiv math.PR Probability
    @mathPRb
    Sep 10, 2019
    Terence Tao : Almost all orbits of the Collatz map attain almost bounded values arxiv.org/abs/1909.03562 arxiv.org/pdf/1909.03562
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    Almost all orbits of the Collatz map attain almost bounded values
    Define the \emph{Collatz map} $\mathrm{Col} : \mathbb{N}+1 \to \mathbb{N}+1$ on the positive integers $\mathbb{N}+1 = \{1,2,3,\dots\}$ by setting $\mathrm{Col}(N)$ equal to $3N+1$ when $N$ is odd...
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    arXiv math.PR Probability
    @mathPRb
    Dec 17, 2024
    Terence Tao: On the distribution of eigenvalues of GUE and its minors at fixed index arxiv.org/abs/2412.10889 arxiv.org/pdf/2412.10889
    3.4K
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    arXiv math.PR Probability
    @mathPRb
    Nov 14, 2024
    Michael C. H. Choi, Max Hird, Youjia Wang: Improving the convergence of Markov chains via permutations and projections arxiv.org/abs/2411.08295 arxiv.org/pdf/2411.08295
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    Improving the convergence of Markov chains via permutations and projections
    This paper aims at improving the convergence to equilibrium of finite ergodic Markov chains via permutations and projections. First, we prove that a specific mixture of permuted Markov chains...
    5.2K
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    arXiv math.PR Probability
    @mathPRb
    Oct 17, 2024
    Deven Mithal, Lorenzo Orecchia: Geometry and Duality of Alternating Markov Chains arxiv.org/abs/2410.12721 arxiv.org/pdf/2410.12721
    6K
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    arXiv math.PR Probability
    @mathPRb
    Mar 26, 2025
    Janson, Nica, Segert: The generalized Alice HH vs Bob HT problem arxiv.org/abs/2503.19035 arxiv.org/pdf/2503.19035 arxiv.org/html/2503.19035
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    The generalized Alice HH vs Bob HT problem
    In 2024, Daniel Litt posed a simple coinflip game pitting Alice's "Heads-Heads" vs Bob's "Heads-Tails": who is more likely to win if they score 1 point per occurrence of their substring in a...
    12K
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    arXiv math.PR Probability
    @mathPRb
    Aug 29, 2025
    Justin Salez: Modern aspects of Markov chains: entropy, curvature and the cu... arxiv.org/abs/2508.21055 arxiv.org/pdf/2508.21055 arxiv.org/html/2508.21055
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    Modern aspects of Markov chains: entropy, curvature and the cutoff...
    The cutoff phenomenon is an abrupt transition from out of equilibrium to equilibrium undergone by certain Markov processes in the limit where the size of the state space tends to infinity: instead...
    4.4K
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    arXiv math.PR Probability
    @mathPRb
    Oct 30, 2024
    Sourav Chatterjee, Souvik Ray: On the stability of solutions to random optimization problems under small perturbations arxiv.org/abs/2410.21513 arxiv.org/pdf/2410.21513
    4K
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    arXiv math.PR Probability
    @mathPRb
    Oct 14, 2024
    Victor Issa (ENS de Lyon): A Hopf-like formula for mean-field spin glass models arxiv.org/abs/2410.08754 arxiv.org/pdf/2410.08754
    3.4K
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    arXiv math.PR Probability
    @mathPRb
    Aug 9, 2024
    Sourav Chatterjee, Persi Diaconis: A Vershik-Kerov theorem for wreath products arxiv.org/abs/2408.04364 arxiv.org/pdf/2408.04364
    24K
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    arXiv math.PR Probability
    @mathPRb
    Feb 13, 2025
    Tubaro, Zanella: An introduction to Malliavin calculus arxiv.org/abs/2502.07941 arxiv.org/pdf/2502.07941 arxiv.org/html/2502.07941
    1.7K
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    arXiv math.PR Probability
    @mathPRb
    Mar 19, 2025
    Zishun Liu, Yongxin Chen: A New Proof of Sub-Gaussian Norm Concentration Inequality arxiv.org/abs/2503.14347 arxiv.org/pdf/2503.14347 arxiv.org/html/2503.14347
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    A New Proof of Sub-Gaussian Norm Concentration Inequality
    We present a new method for proving the norm concentration inequality of sub-Gaussian variables. Our proof is based on an averaged version of the moment generating function, termed the averaged...
    1.2K
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    arXiv math.PR Probability
    @mathPRb
    Mar 28, 2025
    Oleksii Kolupaiev: Spectral independence of almost fully correlated random matrices arxiv.org/abs/2503.21472 arxiv.org/pdf/2503.21472 arxiv.org/html/2503.21472
    1.1K
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    arXiv math.PR Probability
    @mathPRb
    Mar 26, 2025
    Caputo, Chen, Parisi: Factorizations of relative entropy using stochastic localization arxiv.org/abs/2503.19419 arxiv.org/pdf/2503.19419 arxiv.org/html/2503.19419
    2K
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    arXiv math.PR Probability
    @mathPRb
    Apr 4, 2025
    Sourav Chatterjee: Rigorous results for timelike Liouville field theory arxiv.org/abs/2504.02348 arxiv.org/pdf/2504.02348 arxiv.org/html/2504.02348
    792

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