A multi-time Markov renewal theory on partially ordered lattices is developed, yielding stratified inverse-renewal limits that are Gaussian on single-coordinate cells and non-Gaussian minima on interfaces, plus exact-time local theorems and Markovian augmentation criteria.
Stopping Times and Tightness
11 Pith papers cite this work, alongside 302 external citations. Polarity classification is still indexing.
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The second term in the spectral expansion of the expected LQG heat trace as t to 0 is governed by the KPZ exponent.
A symmetric N-queue wireless network is stable exactly when the arrival rate is below the worst-case interference service rate, and a replica mean-field limit gives explicit geometric stationary distributions.
Proves finiteness of λ_c(μ) for the 1D renewal contact process when interarrival distributions are arithmetic or have uniformly small atomic components on short intervals.
Empirical measures from Kac's particle system converge to the Boltzmann equation solution for very soft potentials, proving propagation of chaos for all kernel classes.
Fragment classification is efficiently learnable by quantum neural networks under suitable conditions but resists known classical dequantization techniques.
For fixed retention probability θ, the process log L_⌊nt⌋ obeys a functional LDP with geometric-mark entropy rate, an MDP with the CLT Gaussian RKHS rate, and a Strassen LIL with that unit ball as cluster set.
Type I behavior holds exactly when the graph has the shrink property; otherwise Type F versus Type M is algorithmically decidable via finite enumeration of admissible confined configurations.
First-order Edgeworth expansions with O(n^{-1}) remainders are established for general linear rank statistics via Stein's method and an extension of Bolthausen's combinatorial method.
Characterizes duals of white-noise-driven continuous stochastic flows by explicit SDEs and introduces a self-dual polynomially self-repelling flow model.
The normality of the concatenated Fibonacci constant is shown to depend on the individual digit-normality of almost all Fibonacci numbers, and a claimed proof via row uniformity is refuted by a counterexample.
citing papers explorer
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Multi-time Markov renewal chains and stratified renewal theorems
A multi-time Markov renewal theory on partially ordered lattices is developed, yielding stratified inverse-renewal limits that are Gaussian on single-coordinate cells and non-Gaussian minima on interfaces, plus exact-time local theorems and Markovian augmentation criteria.
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Spectral expansion of LQG heat trace and KPZ scaling
The second term in the spectral expansion of the expected LQG heat trace as t to 0 is governed by the KPZ exponent.
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Interference Queueing Networks: A Replica Mean-Field Approach in the Symmetric Setting
A symmetric N-queue wireless network is stable exactly when the arrival rate is below the worst-case interference service rate, and a replica mean-field limit gives explicit geometric stationary distributions.
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Improved Survival Results for the One-Dimensional Renewal Contact Process
Proves finiteness of λ_c(μ) for the 1D renewal contact process when interarrival distributions are arithmetic or have uniformly small atomic components on short intervals.
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Propagation of chaos for the Boltzmann equation with very soft potentials
Empirical measures from Kac's particle system converge to the Boltzmann equation solution for very soft potentials, proving propagation of chaos for all kernel classes.
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Fragmentation is Efficiently Learnable by Quantum Neural Networks
Fragment classification is efficiently learnable by quantum neural networks under suitable conditions but resists known classical dequantization techniques.
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Functional Limit Theorems for Random Least Common Multiples
For fixed retention probability θ, the process log L_⌊nt⌋ obeys a functional LDP with geometric-mark entropy rate, an MDP with the CLT Gaussian RKHS rate, and a Strassen LIL with that unit ball as cluster set.
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Zero-temperature stochastic Ising model on one-dimensional quasi-transitive graphs
Type I behavior holds exactly when the graph has the shrink property; otherwise Type F versus Type M is algorithmically decidable via finite enumeration of admissible confined configurations.
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Edgeworth Expansions for Linear Rank Statistics -- Consolidated Version
First-order Edgeworth expansions with O(n^{-1}) remainders are established for general linear rank statistics via Stein's method and an extension of Bolthausen's combinatorial method.
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Continuous stochastic flows driven by white noise and their duals
Characterizes duals of white-noise-driven continuous stochastic flows by explicit SDEs and introduces a self-dual polynomially self-repelling flow model.
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On the normality of the concatenated Fibonacci constant
The normality of the concatenated Fibonacci constant is shown to depend on the individual digit-normality of almost all Fibonacci numbers, and a claimed proof via row uniformity is refuted by a counterexample.