Concept
Riemann zeta function
Related publications (51)
An extension of the stochastic sewing lemma and applications to fractional stochastic calculus
We give an extension of Le's stochastic sewing lemma. The stochastic sewing lemma proves convergence in of Riemann type sums for an adapted two-parameter stochastic process A, under certain conditions on the moments o ...
Cambridge Univ Press2024Power variations in fractional Sobolev spaces for a class of parabolic stochastic PDEs
Robert Dalang, Carsten Hao Ye Chong
We consider a class of parabolic stochastic PDEs on bounded domains D c Rd that includes the stochastic heat equation but with a fractional power gamma of the Laplacian. Viewing the solution as a process with values in a scale of fractional Sobolev spaces ...
INT STATISTICAL INST2023A NEW PROOF OF THE ERDOS-KAC CENTRAL LIMIT THEOREM
Thomas Mountford, Michael Cranston
In this paper we use the Riemann zeta distribution to give a new proof of the Erdos-Kac Central Limit Theorem. That is, if zeta(s) = Sigma(n >= 1) (1)(s)(n) , s > 1, then we consider the random variable X-s with P(X-s = n) = (1) (zeta) ( ...
Providence2023Factorized structure of the long-range two-electron integrals tensor and its application in quantum chemistry
We introduce two new approximation methods for the numerical evaluation of the long-range component of the range-separated Coulomb potential and the approximation of the resulting high dimensional Two-Electron Integrals tensor (TEI) with long-range interac ...
San Diego2023Neural Energy Casimir Control for Port-Hamiltonian Systems
Giancarlo Ferrari Trecate, Muhammad Zakwan, Liang Xu
The energy Casimir method is an effective controller design approach to stabilize port-Hamiltonian systems at a desired equilibrium. However, its application relies on the availability of suitable Casimir and Lyapunov functions, whose computation are gener ...
2022