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We investigate the Cauchy problem for a semilinear spatio--temporal fractional diffusion equation with a time-dependent forcing term: \[ \partial_t^\alpha u + (-\Delta)^{\mathsf{s}} u = |u|^p + t^{\sigma}\,\mathbf{w}(x), \quad (t,x) \in…

Analysis of PDEs · Mathematics 2026-01-27 Rihab Ben Belgacem , Mohamed Majdoub

In the first part of this paper, we consider several natural axioms in urelement set theory, including the Collection Principle, the Reflection Principle, the Dependent Choice scheme and its generalizations, as well as other axioms…

Logic · Mathematics 2024-11-20 Bokai Yao

This paper explores the well known approximation approach to decide weak bisimilarity of Basic Parallel Processes. We look into how different refinement functions can be used to prove weak bisimilarity decidable for certain subclasses. We…

Formal Languages and Automata Theory · Computer Science 2012-08-15 Piotr Hofman , Patrick Totzke

In this paper we generalize the main result of [13] in two different situations: in the first case for MOTSs of genus greater than one and, in the second case, for MOTSs of high dimension with negative $\sigma$-constant. In both cases we…

Differential Geometry · Mathematics 2016-09-07 Abraão Mendes

A recent paper proposing a model of the limiting speed of the domino effect is discussed with reference to its need and the need of models in general for validation against experimental data. It is shown that the proposed model diverges…

History and Overview · Mathematics 2008-03-21 Ron Larham

A diagonal version of the strong reflection principle is introduced, along with fragments of this principle associated to arbitrary forcing classes. The relationships between the resulting principles and related principles, such as the…

Logic · Mathematics 2021-08-11 Sean Cox , Gunter Fuchs

We consider several aspects of `confining strings', recently proposed to describe the confining phase of gauge field theories. We perform the exact duality transformation that leads to the confining string action and show that it reduces to…

High Energy Physics - Theory · Physics 2016-09-06 M. C. Diamantini , F. Quevedo , C. A. Trugenberger

We introduce an iteration of forcing notions satisfying the countable chain condition with minimal damage to a strong coloring. Applying this method, we prove that Martin's axiom is strictly stronger than its restriction to forcing notions…

Logic · Mathematics 2024-06-21 Yinhe Peng

We present a version with non-definable forcing notions of Shelah's theory of iterated forcing along a template. Our main result, as an application, is that, if $\kappa$ is a measurable cardinal and $\theta<\kappa<\mu<\lambda$ are…

Logic · Mathematics 2015-06-23 Diego Alejandro Mejía

Answering a question of Usuba, we show that an extendible cardinal can be preserved by a set forcing that is not a small forcing.

Logic · Mathematics 2021-08-17 Gabriel Goldberg

An important step in the Markov reward approach to error bounds on stationary performance measures of Markov chains is to bound the bias terms. Affine functions have been successfully used for these bounds for various models, but there are…

Probability · Mathematics 2019-01-04 Xinwei Bai , Jasper Goseling

We force the Axiom of Choice over the least initial segment of a Nairian model satisfying ZF. In the forcing extension, square_kappa fails at all uncountable cardinals kappa, and every regular cardinal is omega-strongly measurable in HOD,…

Logic · Mathematics 2026-02-16 Douglas Blue , Paul Larson , Grigor Sargsyan

The main result is that for lambda strong limit singular failing the continuum hypothesis (i.e. 2^lambda > lambda^+), a polarized partition theorem holds.

Logic · Mathematics 2009-09-25 Saharon Shelah

We prove that the Sacks forcing collapses the continuum onto the dominating number d, answering the question of Carlson and Laver. Next we prove that if a proper forcing of the size at most continuum collapses omega_2 then it forces…

Logic · Mathematics 2009-09-25 Andrzej Rosłanowski , Saharon Shelah

We prove a functional central limit theorem for partial sums of symmetric stationary long range dependent heavy tailed infinitely divisible processes with a certain type of negative dependence. Previously only positive dependence could be…

Probability · Mathematics 2015-04-07 Paul Jung , Takashi Owada , Gennady Samorodnitsky

We obtain a relatively simple criterion for when a forcing has the ${<}\,\delta$-approximation property, generalizing a result of Unger. Afterwards we apply this criterion to construct variants of Mitchell Forcing in order to answer…

Logic · Mathematics 2025-08-15 Hannes Jakob

In this paper we introduce a tree-like forcing notion extending some properties of the random forcing in the context of the generalised Cantor space and study its associated ideal of null sets and notion of measurability. This issue was…

Logic · Mathematics 2020-04-28 Sy David Friedman , Giorgio Laguzzi

Building on previous work of [BPS] we investigate $\sigma$-closed partial orders of size continuum. We provide both an internal and external characterization of such partial orders by showing that (1) every $\sigma$-closed partial order of…

Logic · Mathematics 2013-03-05 Bohuslav Balcar , Michal Doucha , Michael Hrušák

We investigate the dynamics of a single semiflexible filament, under the action of a compressing force, using numerical simulations and scaling arguments. The force is applied along the end to end vector at one extremity of the filament,…

Soft Condensed Matter · Physics 2009-11-07 P. Ranjith , P. B. Sunil Kumar

We consider a branching random walk with an absorbing barrier, where the step of the associated one-dimensional random walk is in the domain of attraction of an $\alpha$-stable law with $1<\alpha<2$. We shall prove that there is a barrier…

Probability · Mathematics 2018-08-13 Jingning Liu , Mei Zhang