Results 11 to 20 of about 167 (163)
The stationary AKPZ equation: Logarithmic superdiffusivity
Communications on Pure and Applied Mathematics, Volume 76, Issue 11, Page 3044-3103, November 2023., 2023 Abstract We study the two‐dimensional Anisotropic KPZ equation (AKPZ) formally given by ∂tH=12ΔH+λ((∂1H)2−(∂2H)2)+ξ,$$\begin{equation*} \hspace*{3.4pc}\partial _t H=\frac{1}{2}\Delta H+\lambda ((\partial _1 H)^2-(\partial _2 H)^2)+\xi , \end{equation*}$$where ξ is a space‐time white noise and λ is a strictly positive constant.
Giuseppe Cannizzaro +2 more
wiley +1 more source
Studies in Applied Mathematics, Volume 151, Issue 2, Page 555-584, August 2023., 2023 Abstract We describe the low‐temperature optical conductivity as a function of frequency for a quantum‐mechanical system of electrons that hop along a polymer chain. To this end, we invoke the Su–Schrieffer–Heeger tight‐binding Hamiltonian for noninteracting spinless electrons on a one‐dimensional (1D) lattice.
Dionisios Margetis +2 more
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Continuous‐time multi‐type Ehrenfest model and related Ornstein–Uhlenbeck diffusion on a star graph
Mathematical Methods in the Applied Sciences, Volume 45, Issue 9, Page 5483-5512, June 2022., 2022 We deal with a continuous‐time Ehrenfest model defined over an extended star graph, defined as a lattice formed by the integers of d semiaxis joined at the origin. The dynamics on each ray are regulated by linear transition rates, whereas the switching among rays at the origin occurs according to a general stochastic matrix.
Antonio Di Crescenzo +2 more
wiley +1 more source
For Most Frequencies, Strong Trapping Has a Weak Effect in Frequency‐Domain Scattering
Communications on Pure and Applied Mathematics, Volume 74, Issue 10, Page 2025-2063, October 2021., 2021 It is well‐known that when the geometry and/or coefficients allow stable trapped rays, the outgoing solution operator of the Helmholtz equation grows exponentially through a sequence of real frequencies tending to infinity. In this paper we show that, even in the presence of the strongest possible trapping, if a set of frequencies of arbitrarily small ...
David Lafontaine +2 more
wiley +1 more source
Campana points of bounded height on vector group compactifications
Proceedings of the London Mathematical Society, Volume 123, Issue 1, Page 57-101, July 2021., 2021 Abstract We initiate a systematic quantitative study of subsets of rational points that are integral with respect to a weighted boundary divisor on Fano orbifolds. We call the points in these sets Campana points. Earlier work of Campana and subsequently Abramovich shows that there are several reasonable competing definitions for Campana points.
Marta Pieropan +3 more
wiley +1 more source
On the decoupled Markov group conjecture
Bulletin of the London Mathematical Society, Volume 53, Issue 1, Page 240-247, February 2021., 2021 Abstract The Markov group conjecture, a long‐standing open problem in the theory of Markov processes with countable state space, asserts that a strongly continuous Markov semigroup T=(Tt)t∈[0,∞) on ℓ1 has bounded generator if the operator T1 is bijective. Attempts to disprove the conjecture have often aimed at glueing together finite‐dimensional matrix
Jochen Glück
wiley +1 more source
The range of once‐reinforced random walk in one dimension
Random Structures &Algorithms, Volume 58, Issue 1, Page 164-175, January 2021., 2021 We study once‐reinforced random walk on . For this model, we derive limit results on all moments of its range using Tauberian theory.
Peter Pfaffelhuber, Jakob Stiefel
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General control modulo and Tauberian remainder theorems for (C, 1) summability
Mathematical Modelling and Analysis, 2013 We prove for the (C, 1) summability method several Tauberian remainder theorems using the general control modulo of the oscillatory behavior.
Olga Meronen, Ivar Tammeraid
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On the Euler method of summability and concerning Tauberian theorems
Cumhuriyet Science Journal, 2021 For any two regular summability methods (U) and (V), the condition under which V-limx_n=λ implies U-limx_n=λ is called a Tauberian condition and the corresponding theorem is called a Tauberian theorem.
İbrahim Çanak, Sefa Anıl Sezer
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Tauberian-type theorems with application to the Stieltjes transformation
International Journal of Mathematics and Mathematical Sciences, 2006 In the first part, we define the space L'(r) and the modified Stieltjes transformation introduced by Lavoine and Misra (1979) and Marichev (1983), respectively.
S. B. Gaikwad, M. S. Chaudhary
doaj +2 more sources