Exact solutions for isotropic random flights in odd dimensions

DOI10.1063/1.4750223zbMath1290.82012OpenAlexW2085615561MaRDI QIDQ2872325

Ricardo García-Pelayo

Publication date: 14 January 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4750223

zbMATH Keywords

Bessel functionsRandom processesSpecial functionsFluctuation phenomenaRandom processes noise

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Sums of independent random variables; random walks (60G50) Exactly solvable models; Bethe ansatz (82B23) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (8)

Two-step Dirichlet random walks ⋮ Representing the Stirling polynomials \(\sigma_n(x)\) in dependence of \(n\) and an application to polynomial zero identities ⋮ Global maximizers for adjoint Fourier restriction inequalities on low dimensional spheres ⋮ A family of random walks with generalized Dirichlet steps ⋮ Densities of short uniform random walks in higher dimensions ⋮ A CLOSED FORM FOR THE DENSITY FUNCTIONS OF RANDOM WALKS IN ODD DIMENSIONS ⋮ Short hyperuniform random walks ⋮ Unnamed Item

Cites Work

• Some arithmetic properties of short random walk integrals
• Random walks with spherical symmetry
• Densities of Short Uniform Random Walks
• The Pearson random walk with unequal step sizes
• Random walks on symmetric spaces and inequalities for matrix spectra
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