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Additive Functionals of Several Lévy Processes and Intersection Local Times
The paper is about sufficient conditions for the space-time continuity of: (i) intersection local times for \(n\) independent strongly symmetric (i.e., admitting a symmetric transition density) Lévy processes; (ii) continuous additive functionals of several independent strongly symmetric Lévy processes; (iii) \(n\)-fold ``near'' intersection local ...
Marcus, Michael B., Rosen, Jay
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We present a spectral-theoretic approach to time-average statistical mechanics for general, nonequilibrium initial conditions. We consider the statistics of bounded, local additive functionals of reversible as well as irreversible ergodic stochastic ...
Alessio Lapolla +2 more
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AbstractThis investigation explores two numerical approaches: the optimal auxiliary function method (OAFM) and the new iterative method (NIM). These techniques address the physical fractional-order Klein-Gordon equations (FOKGEs), a class of partial differential equations (PDEs) that model various physical phenomena in engineering and diverse plasma ...
Mukhtar Safyan +5 more
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Gaussian approximation of dynamic cavity equations for linearly-coupled stochastic dynamics
Stochastic dynamics on sparse graphs and disordered systems often lead to complex behaviors characterized by heterogeneity in time and spatial scales, slow relaxation, localization, and aging phenomena. The mathematical tools and approximation techniques
Mattia Tarabolo, Luca Dall'Asta
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Let \(B_ t\) be a standard Brownian motion and f be a continuous function. The author investigates the convergence in law on the space of continuous functions for the family of stochastic processes \(\xi_{\lambda}(t)=a_{\lambda}\int^{\lambda t}_{0}f(B_ s)ds\) as \(\lambda\to \infty\).
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An Energy-Corrected Fast Post-SCF Local-Hybrid Scheme for Highly Accurate Energy Differences of Large Main-Group Systems. [PDF]
Wodyński A, Kaupp M.
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Effects of Molecular Aggregation on Dynamic Third-Order Nonlinear Optical Responses: Oligo(thiophene-benzothiadiazole) as a Case Study. [PDF]
Ahmadzadeh K +5 more
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Koopman-von Neumann and Weyl-Wigner Phase-Space Formulation of Inviscid Euler Flows. [PDF]
Molnar SM, Godfrey JR.
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