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Every paper Pith has read. Search by title, abstract, or pith.
1657 papers in math.PR · page 4
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Percolation threshold located for every activation graph H
The critical activation density in graph bootstrap percolation
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The paper generalizes bond percolation to tube percolation
Sharp Phase Transition for the Formation of Infinite Tubes
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Wiener chaos builds Gaussian fields on the torus
Topics in Gaussian Wiener chaos expansion
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Wiener chaos builds Gaussian fields on the torus for Φ^4
Topics in Gaussian Wiener chaos expansion
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Sequential feature recovery produces power-law scaling
Scaling Laws from Sequential Feature Recovery: A Solvable Hierarchical Model
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Flux scaling yields exponential hitting for non-monotone coupon collectors
Clumsy and Careless: Stationary-Entry Flux in Non-monotone Coupon Collectors
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Last passage time is unique totally inaccessible stop in Brownian filtration
Stopping Times in the Filtration of a Brownian Motion Stopped at its Last Passage Time
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Clumsy coupon time follows Gumbel
The clumsy coupon collector's problem
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Moments of gamma-beta differences yield combinatorial identities
Generalization and Probabilistic Proofs of Some Combinatorial Identities
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Vector balancing value converges to Brownian steering limit
The Mean-Field Limit of Online Stochastic Vector Balancing
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Stochastic Mackey-Glass has invariant measure iff solutions avoid zero
Stochastic Mackey-Glass Equations and Other Negative Feedback Systems: Existence of Invariant Measures
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Loewner evolution of parameters produces SLE(4) martingales
Irregular SLE(4) martingales and isomonodromic deformations
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Exact small-marginal match forces exponential closeness in larger ones
Upper Bounds for Symmetric Approximate Bounded Indistinguishability
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Mild solutions exist uniquely for equations with arbitrary cylindrical Lévy noise
Stochastic evolution equations driven by arbitrary cylindrical L\'evy processes
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Filtered noise model for Fourier modes captures tracer diffusion in turbulence
Stochastic modeling of Fourier modes in two-dimensional turbulence via filtered white noise
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Dice sum reaches prime after expected rolls known to 1000 decimals
When Does the Dice Sum Become Prime?
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Sticky CIR process has unique invariant measure mixing zero and gamma density
Sticky CIR process with potential: invariant measure and exact sampling
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Sticky CIR process has unique mixed invariant measure
Sticky CIR process with potential: invariant measure and exact sampling
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Determinantal processes converge as scaling parameter p increases
Determinantal point processes associated with the Bochner-Schr\"odinger operator
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Rate ratio condition ensures finite clans for Hawkes simulation
Perfect simulation for interacting Hawkes processes with reset-induced variable length memory
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Extra inertial Itô drift emerges at fixed mass-to-correlation ratio
The inertial It\^o drift and its applications to particle collision
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TASEP hydrodynamic limit holds with discontinuous speed functions
Hydrodynamic limits for TASEP with space-time discontinuities
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Trajectories identify stochastic parameters uniquely
Structural identifiability of partially-observed stochastic processes: from single-particle trajectories to total particle density data
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Weak solutions exist for Dean-Kawasaki with singular Biot-Savart kernels
Dean-Kawasaki Equation with Biot-Savart and Keller-Segel Interactions: Existence and Large Deviations
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Reused diffusion latents incur error from subspace misalignment
On the Limits of Latent Reuse in Diffusion Models
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Closed-form spectra approximate random hierarchical networks
Ultrametric Graphons and Hierarchical Community Networks: Spectral Theory and Applications
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Additive particle systems on lattices get percolation representations
Percolation representations of additive particle systems
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This short note introduces basic concepts of ergodic optimization to readers new to the…
Ergodic Optimization and Ground States: a brief Introduction
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Underdamped Langevin achieves Nesterov acceleration in Wasserstein space
Nesterov acceleration for the Wasserstein minimization of displacement-convex free energies
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Underdamped Langevin dynamics accelerate Wasserstein minimization
Nesterov acceleration for the Wasserstein minimization of displacement-convex free energies
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Underdamped dynamics accelerate Wasserstein free-energy minimization
Nesterov acceleration for the Wasserstein minimization of displacement-convex free energies
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Underdamped Langevin accelerates Wasserstein flows to Nesterov rate
Nesterov acceleration for the Wasserstein minimization of displacement-convex free energies
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Wavelet DPPs deliver better minibatch variance reduction
State-of-art minibatches via novel DPP kernels: discretization, wavelets, and rough objectives
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Algorithm discards few steps to keep random walk inside convex body
Discrepancy and Fisher information
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Imaginary bispectrum detects cluster orientation
Orientation in Poisson Cluster Processes via Imaginary Bispectra
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LUE eigenvalues converge to Airy process at mesoscopic scales
Mesoscopic Rates of Convergence for Complex Wishart Matrices at the Leftmost Spectrum Edge
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Optimal tests aggregate into log-optimal e-processes
Optimal sequential tests yield log-optimal e-processes
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Ising trajectories stay at zero magnetization but average to mixed phases
Equilibrium Biphasicity and Non-Binary Pathwise Confinement in Stochastic Ising Models
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Closed-form optimal rules derived for PAYG pension investments with buffer funds
Optimal investment and Pension policy in Pay-As-You-Go systems under forward utility and ageing population
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Closed-form rules optimize PAYG pensions via buffer fund
Optimal investment and Pension policy in Pay-As-You-Go systems under forward utility and ageing population
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Gap counting sets critical scale for attention softmax
A Unified Framework for Critical Scaling of Inverse Temperature in Self-Attention
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Unique solutions for degenerate mean field games in Hilbert spaces
Mean Field Games in Hilbert Spaces with Degenerate Diffusion: A Viscosity Solution Approach
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CLT proven for homozygosity in hierarchical Pitman-Yor process
Central limit theorem for the homozygosity of the hierarchical Pitman-Yor process
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Exact stationary PDF for reflected random walks derived analytically
An analytical approach to calculating stationary PDFs for reflected random walks with an application to BESS-based ramp-rate control
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Itô integral defined for two-sided Lévy processes
It\^o integral for a two-sided L\'evy process
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Sure-almost-sure window mean-payoff in MDPs is in P for fixed windows
Sure-almost-sure and Sure-limit-sure Window Mean Payoff in Markov Decision Processes
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SE(2) Langevin dynamics yield effective diffusion on R²
Hypocoercive Langevin dynamics on the Lie group $\mathrm{SE}(2)$
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Averaging minibatch OT plans yields consistent couplings for flow matching
Expected Batch Optimal Transport Plans and Consequences for Flow Matching
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Filtering equations now cover predictable jumps
Nonlinear filtering with stochastic discontinuities
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Self-exciting SDE control obeys a stochastic maximum principle
Stochastic control with self-exciting processes