Results 141 to 150 of about 132,418 (291)

Spanning Multi‐Asset Payoffs With ReLUs

open access: yesMathematical Finance, Volume 35, Issue 3, Page 682-707, July 2025.
ABSTRACT We propose a distributional formulation of the spanning problem of a multi‐asset payoff by vanilla basket options. This problem is shown to have a unique solution if and only if the payoff function is even and absolutely homogeneous, and we establish a Fourier‐based formula to calculate the solution.
Sébastien Bossu   +2 more
wiley   +1 more source

Combinatorial Generation Algorithms for Directed Lattice Paths

open access: yesMathematics
Graphs are a powerful tool for solving various mathematical problems. One such task is the representation of discrete structures. Combinatorial generation methods make it possible to obtain algorithms that can create discrete structures with specified ...
Yuriy Shablya   +2 more
doaj   +1 more source

Rough PDEs for Local Stochastic Volatility Models

open access: yesMathematical Finance, Volume 35, Issue 3, Page 661-681, July 2025.
ABSTRACT In this work, we introduce a novel pricing methodology in general, possibly non‐Markovian local stochastic volatility (LSV) models. We observe that by conditioning the LSV dynamics on the Brownian motion that drives the volatility, one obtains a time‐inhomogeneous Markov process. Using tools from rough path theory, we describe how to precisely
Peter Bank   +3 more
wiley   +1 more source

Wittgenstein and concept‐extension in mathematics

open access: yesPhilosophical Investigations, Volume 48, Issue 3, Page 333-348, July 2025.
Abstract I begin by attempting to get a perspicuous overview of what Wittgenstein means by saying that a mathematical proof forms concepts. I then distinguish these sorts of cases from those we might call concept‐extending proofs, which, rather than introducing new concepts, function to enrich those concepts that have already been given a home in our ...
Samuel J. Wheeler
wiley   +1 more source

Weak compactness cardinals for strong logics and subtlety properties of the class of ordinals

open access: yesJournal of the London Mathematical Society, Volume 112, Issue 1, July 2025.
Abstract Motivated by recent work of Boney, Dimopoulos, Gitman, and Magidor, we characterize the existence of weak compactness cardinals for all abstract logics through combinatorial properties of the class of ordinals. This analysis is then used to show that, in contrast to the existence of strong compactness cardinals, the existence of weak ...
Philipp Lücke
wiley   +1 more source

Moduli of finite flat torsors over nodal curves

open access: yesJournal of the London Mathematical Society, Volume 112, Issue 1, July 2025.
Abstract We show that log flat torsors over a family X/S$X/S$ of nodal curves under a finite flat commutative group scheme G/S$G/S$ are classified by maps from the Cartier dual of G$G$ to the log Jacobian of X$X$. We deduce that fppf torsors on the smooth fiberss of X/S$X/S$ can be extended to global log flat torsors under some regularity hypotheses.
Sara Mehidi, Thibault Poiret
wiley   +1 more source

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