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We introduce several new constructions of finite posets with the number of linear extensions given by generalized continued fractions. We apply our results to the problem of the minimum number of elements needed for a poset with a given…

Combinatorics · Mathematics 2024-08-01 Swee Hong Chan , Igor Pak

On a given arithmetic surface, inspired by work of Miyaoka, we consider vector bundles which are extensions of a line bundle by another one. We give sufficient conditions for their restriction to the generic fiber to be semi-stable. We then…

Algebraic Geometry · Mathematics 2007-05-23 C. Soule

Bifurcations of periodic orbits as an external parameter is varied are a characteristic feature of generic Hamiltonian systems. Meyer's classification of normal forms provides a powerful tool to understand the structure of phase space…

chao-dyn · Physics 2009-10-31 P. Leboeuf , A. Mouchet

We update the single-coupling bounds on R-parity violating supersymmetry using the most up to date data as of October 2009. In addition to the data listed in the 2009 Review of Particle Properties, we utilize a new determination of the weak…

High Energy Physics - Phenomenology · Physics 2009-11-16 Yee Kao , Tatsu Takeuchi

We construct some canonically defined central extensions of groups of symplectomorphisms. We show that this central extension is nontrivial in the case of a torus of dimension $\ge 6$ and in the case of a two-dimensional surface of genus…

Differential Geometry · Mathematics 2013-02-08 Yurii A. Neretin

The purpose of this note is to clarify some details in McDuff and Segal's proof of the group-completion theorem and to generalize both this and the homology fibration criterion of McDuff to homology with twisted coefficients. This will be…

Algebraic Topology · Mathematics 2018-05-22 Jeremy Miller , Martin Palmer

We investigate the intersection problem for finite semigroups, which asks for a given set of regular languages, represented by recognizing morphisms to finite semigroups, whether there exists a word contained in their intersection. We…

Formal Languages and Automata Theory · Computer Science 2018-06-14 Lukas Fleischer

We characterize factor congruences in semilattices by using generalized notions of order ideal and of direct sum of ideals. When the semilattice has a minimum (maximum) element, these generalized ideals turn into ordinary (dual) ideals.

Logic · Mathematics 2010-11-11 Pedro Sánchez Terraf

A new sufficient condition is proposed in the problem of Central Limit Theorem in the array scheme for non-homogeneous Markov Chains.

Probability · Mathematics 2026-01-21 Alexander Veretennikov , Aisha Nurieva

We give a novel characterization of the centered model in regularity structures which persists for rough drivers even as a mollification fades away. We present our result for a class of quasilinear equations driven by noise, however we…

Probability · Mathematics 2025-06-10 Markus Tempelmayr

A criterion is established for the transitivity of connectedness in a transfinite graph. Its proof is much shorter than a prior argument published previously for that criterion.

Combinatorics · Mathematics 2007-05-23 A. H. Zemanian

In this paper, we prove the termination of 4-fold semi-stable log flips under the assumption that there always exist 4-fold (semi-stable) log flips.

Algebraic Geometry · Mathematics 2007-05-23 Osamu Fujino

I point out that $B \to X_q \l^+ \l^-$ decays $(q = s, d)$ are sensitive probes of possible violation of CKM unitarity. I compute the decay rates and asymmetries in a minimal extension of the Standard Model containing an additional…

High Energy Physics - Phenomenology · Physics 2022-03-02 L. T. Handoko

In this paper we study the existence of solutions and their concentration phenomena of a singularly perturbed semilinear Schrodinger equation with the presence of the critical Sobolev exponent.

Analysis of PDEs · Mathematics 2007-05-23 Alessio Pomponio

We prove that the formula giving the exact value of the irrationality exponent of regular continued fractions remains valid for semi-regular continued fractions satisfyiong certain conditions.

Number Theory · Mathematics 2022-02-23 Daniel Duverney , Iekata Shiokawa

The main purpose of this paper is to study under what condition compressible modules are critically compressible. A sufficient condition for the injective hull of a critically compressible module to be critically compressible is also…

Commutative Algebra · Mathematics 2012-03-14 Abhay K. Singh

There is substancial overlap with hepth-9211081. More results are presented for duality in the non-compact case. It is argued that duality persists as a symmetry also in that case.

High Energy Physics - Theory · Physics 2009-10-22 E. Kiritsis

It is proven an analogue of The Theorem of Moser according to an iterative normalization procedure depending on Generalized Fischer Decompositions.

Complex Variables · Mathematics 2021-05-26 Valentin Burcea

I present a simple three-Higgs-doublet extension of the standard model in which real CP violation takes place. The strong CP problem is attenuated by this model.

High Energy Physics - Phenomenology · Physics 2009-10-31 L. Lavoura

We explicitly fix a mistake in a preliminary statement of our previous paper on the conductor at a multiplanar singularity. The correction is not immediate and, though the mistake does not affect correctness of the subsequent results, the…

Commutative Algebra · Mathematics 2019-03-05 Alessandro De Paris , Ferruccio Orecchia