1. Stochastics of shapes and Kunita flows
   2025/12/12 by Sommer, Stefan, Yang, Gefan, Baker, Elizabeth Louise · 1 citation
   Computer Science · Engineering · Mathematics · #3D Shape Modeling and Analysis #Computer Vision and Pattern Recognition (cs.CV) #FOS: Computer and information sciences #FOS: Mathematics #Morphological variations and asymmetry #Probability (math.PR) #Topological and Geometric Data Analysis
2. Generalized Discrepancy of Random Points
   2025/12/09 by Novak, Erich, Pillichshammer, Friedrich · 1 citation
   #11K38 #65C05 #65Y20 #FOS: Mathematics #Number Theory (math.NT) #Numerical Analysis (math.NA) #Probability (math.PR)
3. A Note on the Conditions for COS Convergence
   2025/12/02 by Q. A. Wang, Wang, Qinling, Shen, Xiaoyu +2 · 1 citation
   Computer Science · Mathematics · Physics and Astronomy · #Computational Finance (q-fin.CP) #FOS: Economics and business #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Numerical Methods and Algorithms #Probability (math.PR)
4. A Generalization of Caffarelli's Contraction Theorem to Nearly Spherical Manifolds
   2025/12/01 by Ge, Yuxin, Serres, Jordan · 1 citation
   Engineering · Mathematics · #Analysis of PDEs (math.AP) #Control and Stability of Dynamical Systems #Differential Geometry (math.DG) #FOS: Mathematics #Functional Analysis (math.FA) #Geometric Analysis and Curvature Flows #Mathematical Dynamics and Fractals #Probability (math.PR)
5. Optimal local central limit theorems on Wiener chaos
   2025/11/26 by Ebina, Masahisa, Nourdin, Ivan, Peccati, Giovanni · 1 citation
   #60F05 #60G15 #60H07 #FOS: Mathematics #Probability (math.PR)
6. Formalization of Brownian motion in Lean
   2025/11/25 by Rémy Degenne, Degenne, Rémy, David Ledvinka +5 · 1 citation
   Computer Science · Mathematics · #Computability, Logic, AI Algorithms #FOS: Mathematics #Logic, Reasoning, and Knowledge #Mathematical and Theoretical Analysis #Probability (math.PR)
7. A Stochastic Approach to the Definition of the Path Integral Measure
   2025/11/19 by Timur Obolenskiy, Obolenskiy, Timur · 1 voice
   Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Mathematical Physics (math-ph) #Probability (math.PR) #Stochastic processes and financial applications #advanced mathematical theories #math-ph #math.PR
8. A stochastic flow approach to De Giorgi-Nash-Moser estimates for SPDEs with smooth transport noise
   2025/11/16 by Agresti, Antonio, Sauerbrey, Max, Veraar, Mark · 1 citation
   #35K59 #60H10 #Analysis of PDEs (math.AP) #FOS: Mathematics #Primary: 60H15 #Probability (math.PR) #Secondary: 35B65
9. Brownian motion and stochastic areas on complex partial flag manifolds with blocks of equal size
   2025/11/08 by Kuijper, Teije · 1 citation
   #Differential Geometry (math.DG) #FOS: Mathematics #Probability (math.PR)
10. Stability of the Kim--Milman flow map
    2025/11/03 by Sinho Chewi, Chewi, Sinho, Aram-Alexandre Pooladian +3 · 2 citations
    Mathematics · #26D10 #FOS: Computer and information sciences #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Machine Learning (cs.LG) #Point processes and geometric inequalities #Probability (math.PR) #Statistics Theory (math.ST)
11. Regularization by regular noise: a numerical result
    2025/10/31 by Song, Ke, Ling, Chengcheng, Wang, Haiyi · 1 citation
    #FOS: Mathematics #Probability (math.PR)
12. Free energy fluctuations in SK and related spin glass models: A literature survey
    2025/10/30 by Collins-Woodfin, Elizabeth, Le, Han Gia · 1 citation
    Physics and Astronomy · #60K35 #82B44 #82D30 #Advanced Condensed Matter Physics #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Physics of Superconductivity and Magnetism #Probability (math.PR) #Theoretical and Computational Physics
13. On the Structure of Stationary Solutions to McKean-Vlasov Equations with Applications to Noisy Transformers
    2025/10/23 by Krishnakumar Balasubramanian, Balasubramanian, Krishnakumar, Sayan Banerjee +3 · 3 citations
    Engineering · Environmental Science · Physics and Astronomy · #34K18 #35B27 #35Q70 #35Q83 #60H50 #82C22 #Analysis of PDEs (math.AP) #Artificial Intelligence (cs.AI) #Ecosystem dynamics and resilience #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Probability (math.PR) #Statistical Mechanics and Entropy #Thermoelastic and Magnetoelastic Phenomena
14. Strong convergence: a short survey
    2025/10/14 by van Handel, Ramon · 3 citations
    #Combinatorics (math.CO) #Differential Geometry (math.DG) #FOS: Mathematics #Operator Algebras (math.OA) #Probability (math.PR) #Spectral Theory (math.SP)
15. Sparse graphs and their Benjamini-Schramm limits: a spectral tour
    2025/10/11 by Bordenave, Charles · 1 citation
    #05C50 #05C80 #46L54 #60B20 #Combinatorics (math.CO) #FOS: Mathematics #Probability (math.PR) #Spectral Theory (math.SP)
16. A multiscale analysis of mean-field transformers in the moderate interaction regime
    2025/09/29 by Bruno, Giuseppe, Pasqualotto, Federico, Agazzi, Andrea · 5 citations
    #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Probability (math.PR)
17. Sum rules via large deviations: polynomial potentials and multi-cut regime on the unit circle
    2025/09/28 by Gamboa, Fabrice, Nagel, Jan, Rouault, Alain · 1 citation
    #42C05 #47B15 #60B20 #60F10 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)
18. Absolute continuity of finite-dimensional distributions of Hermite processes via Malliavin calculus
    2025/09/25 by Loosveldt, Laurent, Nachit, Yassine, Nourdin, Ivan +1 · 2 citations
    #60F05 #60G18 #60G22 #60H07 #FOS: Mathematics #Probability (math.PR)
19. A short proof of Feige's conjecture for identically distributed random variables
    2025/09/24 by Egozcue, Martín, García, Luis Fuentes · 2 citations
    #60E15 (Primary) 05D40 (Secondary) #FOS: Mathematics #Probability (math.PR)
20. Quality control in sublinear time: a case study via random graphs
    2025/08/22 by Marcussen, Cassandra, Rubinfeld, Ronitt, Sudan, Madhu · 3 citations
    #Combinatorics (math.CO) #Data Structures and Algorithms (cs.DS) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Probability (math.PR)
21. Spectral gap with polynomial rate for Weil-Petersson random surfaces
    2025/08/20 by Hide, Will, Macera, Davide, Thomas, Joe · 5 citations
    #58J50 #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT) #Probability (math.PR) #Spectral Theory (math.SP)
22. Ties, Tails and Spectra: On Rank-Based Dependency Measures in High Dimensions
    2025/08/20 by Nina Dörnemann, Michael Fleermann, Dörnemann, Nina +3 · 1 citation
    #FOS: Mathematics #Primary 60B20 #Probability (math.PR) #Secondary 60F05 60F10 60G10 60G55 60G70 #Statistics Theory (math.ST)
23. The Fourier coefficients of the critical holomorphic multiplicative chaos
    2025/08/19 by Atherfold, Christopher, Najnudel, Joseph · 2 citations
    #60B20 #60F05 #60G15 #60G57 #FOS: Mathematics #Number Theory (math.NT) #Probability (math.PR)
24. Geodesic convexity and strengthened functional inequalities in submanifolds of Wasserstein space
    2025/08/19 by Louis-Pierre Chaintron, Daniel Lacker, Chaintron, Louis-Pierre +1 · 1 citation
    Mathematics · Medicine · #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Geometric Analysis and Curvature Flows #Ophthalmology and Eye Disorders #Point processes and geometric inequalities #Probability (math.PR)
25. On the limiting distribution of sums of random multiplicative functions
    2025/08/18 by Ofir Gorodetsky, Mo Dick Wong, Gorodetsky, Ofir +1 · 5 citations
    Decision Sciences · Mathematics · #Analytic Number Theory Research #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Approximation and Integration #Number Theory (math.NT) #Probability (math.PR) #Probability and Risk Models
26. Propagation of weak log-concavity along generalised heat flows via Hamilton-Jacobi equations
    2025/08/11 by Louis-Pierre Chaintron, Chaintron, Louis-Pierre, Giovanni Conforti +3 · 5 citations
    Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Geometric Analysis and Curvature Flows #Mathematical Biology Tumor Growth #Probability (math.PR)
27. Localization of One-Dimensional Random Band Matrices
    2025/08/07 by Drogin, Reuben · 4 citations
    #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)
28. Universality for fluctuations of counting statistics of random normal matrices
    2025/08/06 by Marzo, J., Molag, L. D., Ortega-Cerdà, J. · 3 citations
    #15A52 #30E15 #41A60 #60B20 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)
29. The fermionic DGFF and its scaling limit logCFT
    2025/08/05 by Adame-Carrillo, David, Ruszel, Wioletta M. · 1 citation
    #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)
30. Decoupling via Affine Spectral-Independence: Beck-Fiala and Komlós Bounds Beyond Banaszczyk
    2025/08/05 by Bansal, Nikhil, Jiang, Haotian · 3 citations
    #Combinatorics (math.CO) #Data Structures and Algorithms (cs.DS) #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #FOS: Mathematics #Probability (math.PR)

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