Optimal Tauberian constant in Ingham's theorem for Laplace transforms [PDF]
It is well known that there is an absolute constant $\mathfrak{C}>0$ such that if the Laplace transform $G(s)=\int_{0}^{\infty}\rho(x)e^{-s x}\:\mathrm{d}x$ of a bounded function $\rho$ has analytic continuation through every point of the segment $(-i ...
Debruyne, Gregory, Vindas, Jasson
core +3 more sources
Exit Problems for Jump Processes Having Double-Sided Jumps with Rational Laplace Transforms
We consider the two-sided first-exit problem for a jump process having jumps with rational Laplace transform. We derive the joint distribution of the first passage time to two-sided barriers and the value of process at the first passage time.
Yuzhen Wen, Chuancun Yin
doaj +1 more source
A Stochastic Geometric Analysis of Device-to-Device Communications Operating over Generalized Fading Channels [PDF]
Device-to-device (D2D) communications are now considered as an integral part of future 5G networks which will enable direct communication between user equipment (UE) without unnecessary routing via the network infrastructure.
Chun, Young Jin+4 more
core +2 more sources
Record Statistics of Continuous Time Random Walk
The statistics of records for a time series generated by a continuous time random walk is studied, and found to be independent of the details of the jump length distribution, as long as the latter is continuous and symmetric.
Sabhapandit, Sanjib
core +2 more sources
Occupation densities in solving exit problems for Markov additive processes and their reflections [PDF]
This paper solves exit problems for spectrally negative Markov additive processes and their reflections. A so-called scale matrix, which is a generalization of the scale function of a spectrally negative \levy process, plays a central role in the study ...
Ivanovs, Jevgenijs, Palmowski, Zbigniew
core +2 more sources
An analytical expression for the first-order density matrix of a charged, two-dimensional, harmonically confined quantum gas, in the presence of a constant magnetic field is derived.
A. M. Kosevitch+4 more
core +1 more source
Exit problems for spectrally negative Lévy processes and applications to Russian, American and Canadized options [PDF]
We consider spectrally negative Lévy process and determine the joint Laplace trans- form of the exit time and exit position from an interval containing the origin of the process reflected in its supremum.
Avram, F.+2 more
core
In this work, melt electrowriting is used to fabricate a 3D printed scaffold design that generates engineered cardiac tissues with in‐plane contraction, mimicking natural myocardium. It is shown that these tissues display advanced maturation and functionality.
Olalla Iglesias‐García+23 more
wiley +1 more source
Conformally Perforated Shellular Metamaterials with Tunable Thermomechanical and Acoustic Properties
This study introduces Conformally Perforated Shellular Metamaterials (CPSMs), which overcome TPMS design limitations by mapping 2D cellular layouts onto 3D surfaces. CPSMs exhibit enhanced elastic stiffness, thermal conductivity, and acoustic performance compared to intact P‐type shellulars, demonstrating their potential as multifunctional ...
Benyamin Shahryari+8 more
wiley +1 more source
Ergodic properties of continuous-time random walks: finite-size effects and ensemble dependences
The effects of spatial confinements and smooth cutoffs of the waiting time distribution in continuous-time random walks (CTRWs) are studied analytically.
Akimoto, Takuma, Miyaguchi, Tomoshige
core +1 more source