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On the Telegraph Process Driven by Geometric Counting Process with Poisson-Based Resetting
We investigate the effects of the resetting mechanism to the origin for a random motion on the real line characterized by two alternating velocities
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Some Poisson-Based Processes at Geometric Times
We consider the composition of three different stochastic processes with an independent geometric random time. First, the parent process is assumed...
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From Bipolar Euler-Poisson System to Unipolar Euler-Poisson One in the Perspective of Mass
The main purpose of this paper is to provide an effective procedure to study rigorously the relationship between unipolar and bipolar Euler-Poisson...
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Identities for deformation quantizations of almost Poisson algebras
We propose an algebraic viewpoint of the problem of deformation quantization of the so-called almost Poisson algebras, which are algebras with a...
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Enhancing scalability and accuracy of quantum poisson solver
The Poisson equation has many applications across the broad areas of science and engineering. Most quantum algorithms for the Poisson solver...
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The Gevrey Regularity for the Vlasov–Poisson–Landau and the Non-cutoff Vlasov–Poisson–Boltzmann Systems
We study the Vlasov–Poisson–Boltzmann system without angular cutoff and the Vlasov–Poisson–Landau system with all hard potentials in the perturbation...
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Adaptive stochastic resonance under Poisson white noise background and its application for bolt looseness detection
Bolts are utilised extensively in machinery and often bear large loads. Reliable connection of bolts is related to the effective functioning of...
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The method of Poisson pairs in the theory of nonlinear PDEs
The aim of these lectures is to show that the methods of classical Hamiltonian mechanics can be profitably used to solve certain classes of nonlinear...
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Fractional Poisson Law in the Statistics of Flashing Objects. I. Description of the Method
The possibility of invoking a fractional Poisson distribution (fractional Poisson process) in statistical studies of flashing objects is discussed.
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Stochastic resonance in strong Poisson white noise excited system and its application in multi-features identification
The response of a nonlinear system excited by multi-frequency signals and Poisson white noise contains abundant dynamic behaviours. The study on...
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Geometric Poisson distribution of photons produced in the ultrarelativistic hadronic collisions
We show that the multiplicity distribution of photons produced with enhanced void probability in inelastic proton-proton collisions at
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Poisson-Lie T-duality defects and target space fusion
Topological defects have long been known to encode symmetries and dualities between physical systems. In the context of string theory, defects have...
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Modulation instability and optical wave profiles for the conformable Schrödinger–Poisson dynamical system
This manuscript studies the exact solitary wave profiles for the conformable Schrödinger–Poisson dynamical system. This system has a significant...
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The BV action of 3D twisted R-Poisson sigma models
We determine the solution to the classical master equation for a 3D topological field theory with Wess-Zumino term and an underlying geometrical...
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Poisson Reductions of Master Integrable Systems on Doubles of Compact Lie Groups
We consider three ‘classical doubles’ of any semisimple, connected and simply connected compact Lie group G : the cotangent bundle, the Heisenberg...
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Hardware efficient decomposition of the Laplace operator and its application to the Helmholtz and the Poisson equation on quantum computer
With the rapid advancement of quantum computers in the past few years, there is ongoing development of algorithms aimed at solving problems that are...
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Shortest Path Distance in Manhattan Poisson Line Cox Process
While the Euclidean distance characteristics of the Poisson line Cox process (PLCP) have been investigated in the literature, the analytical...
