Results 21 to 30 of about 882,396 (145)

On the Generalized Laplace Transform [PDF]

, 2021
In this paper we introduce a generalized Laplace transform in order to work with a very general fractional derivative, and we obtain the properties of this new transform. We also include the corresponding convolution and inverse formula.
Bosch, Paul, Héctor José Carmenate García, Sigarreta Almira, José María, Carmenate García, Héctor José, Rodríguez, José Manuel, Sigarreta, José María, José María Sigarreta, Rodríguez García, José Manuel, Paul Bosch, José Manuel Rodríguez   +9 more
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Interconnection Between the Stretched Exponential Function and the Prony Series: A Concise and Rigorous Revisit

Mathematics
Both the stretched exponential function and the Prony series are prominent mathematical frameworks extensively employed to characterize monotonically decaying phenomena across physics and engineering disciplines.
Che-Yu Lin
doaj   +1 more source

Measure‐valued processes for energy markets

Mathematical Finance, Volume 35, Issue 2, Page 520-566, April 2025.
Abstract We introduce a framework that allows to employ (non‐negative) measure‐valued processes for energy market modeling, in particular for electricity and gas futures. Interpreting the process' spatial structure as time to maturity, we show how the Heath–Jarrow–Morton approach can be translated to this framework, thus guaranteeing arbitrage free ...
Christa Cuchiero, Luca Di Persio, Francesco Guida, Sara Svaluto‐Ferro   +3 more
wiley   +1 more source

On the Exact Limiting Distribution of a Volatility Target Index

Mathematical Finance, EarlyView.
ABSTRACT Assuming a lognormal distribution for the underlying risky asset, we study the limiting distribution of a volatility target index as the rebalancing time step approaches zero. Two limit theorems (a strong law of large numbers and a central limit theorem) are established, and as an application, the exact limiting distribution is derived.
Xuan Liu, Michel Gauthier
wiley   +1 more source

Surface‐driven size scaling of the lattice parameter, Debye–Waller coefficient and microstrain in nanocrystals

Acta Crystallographica Section A, Volume 82, Issue 5, Page 366-376, September 2026.
This work develops three surface‐driven nanoscale models for the diffraction‐derived lattice parameter, Debye–Waller coefficient and microstrain, clarifying why their size dependences are not equally universal. Atomistic simulations and literature data show that lattice parameter trends depend strongly on capillarity, chemistry and defects, whereas the
Sirisha Subbareddy, Erick Agnolin, Marcelo Augusto Malagutti, Narges Ataollahi, Robert Dinnebier, Paolo Scardi   +5 more
wiley   +1 more source

Generalized Borel transform technique in quantum mechanics [PDF]

, 2019
We present the Generalized Borel Transform (GBT). This new approach allows one to obtain approximate solutions of Laplace/Mellin transform valid in both, perturbative and non-perturbative regimes. We compare the results provided by the GBT for a solvable
García Canal, Carlos Alberto, Fanchiotti, Huner, Marucho, M., Epele, Luis Nicolás   +3 more
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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

Comparison between Borel-Padé summation and factorial series, as time integration methods

, 2016
International audienceWe compare the performance of two algorithms of computing the Borel sum of a time power series. The first one uses Padé approximants in Borel space, followed by a Laplace transform. The second is based on factorial series.
Deeb, Ahmad, Hamdouni, Aziz, Razafindralandy, Dina   +2 more
core   +1 more source

On the deterministic interior body of random polytopes

Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.
Abstract Let {Xi}i=1∞$\lbrace X_i\rbrace _{i=1}^{\infty }$ be a sequence of independent copies of a random vector X$X$ in Rn$\mathbb {R}^n$. We revisit the question to determine the asymptotic shape of the random polytope KN=conv{X1,…,XN}$K_N={\rm conv}\lbrace X_1,\ldots,X_N\rbrace$ where N>n$N>n$.
Minas Pafis, Natalia Tziotziou
wiley   +1 more source

Application of the Laplace-Borel transformation to the representation of analytical solutions of Duffing's equation [PDF]

, 1989
Various features of the solutions of Duffing's equation are described using a representation of the solutions in the Laplace-Borel transform domain.
Tobak, M., Truong, K. V., Unal, Aynur
core