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Let k be a field, Q a quiver with countably many vertices and I an ideal of kQ such that kQ/I has finite dimensional Hom-spaces. In this note, we prove that there is no almost split sequence ending at an indecomposable not finitely…

Representation Theory · Mathematics 2011-04-08 Charles Paquette

This paper has been withdrawn.

Operator Algebras · Mathematics 2007-05-23 Nathanial P. Brown

I argue that opposite arrows of time, while being logically possible, cannot realistically be assumed to exist during one and the same epoch of this universe.

General Physics · Physics 2007-05-23 H. D. Zeh

We consider point-to-point directed paths in a random environment on the two-dimensional integer lattice. For a general independent environment under mild assumptions we show that the quenched energy of a typical path satisfies a central…

Probability · Mathematics 2023-11-30 H. Christian Gromoll , Mark W. Meckes , Leonid Petrov

It is well known that a line in $\mathbb R^2$ is not a set of injectivity for the spherical means for odd functions about that line. We prove that any line passing through the origin is a set of injectivity for the twisted spherical means…

Functional Analysis · Mathematics 2014-03-17 R. K. Srivastava

In this note we show that there are no real configurations of $d\geq 4$ lines in the projective plane such that the associated Kummer covers of order $3^{d-1}$ are ball-quotients and there are no configurations of $d\geq 4$ lines such that…

Algebraic Geometry · Mathematics 2023-04-20 Jürgen Bokowski , Piotr Pokora

The bimodality in observed present-day galaxy colours has long been a challenge for hierarchical galaxy formation models, as it requires some physical process to quench (and keep quenched) star formation in massive galaxies. Here we examine…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-14 J. M. Gabor , R. Davé , K. Finlator , B. D. Oppenheimer

Bound entanglement with a nonpositive partial transposition (NPT) does not exist. For any NPT entangled state a distillation procedure can be based on a certain number of copies. This number is the minimal Schmidt rank of a pure state…

Quantum Physics · Physics 2009-11-02 J. Sperling , W. Vogel

The paper presents a counterexample to the Hodge conjecture.

General Mathematics · Mathematics 2020-07-28 Jorma Jormakka

In this paper we give sufficient conditions for the almost sure central limit theorem started at a point, known under the name of quenched central limit theorem. This is achieved by using a new idea of conditioning with respect to both the…

Probability · Mathematics 2022-09-08 Magda Peligrad

Though under nonlinear accretion, all black holes in four and higher dimensions obey the weak cosmic censorship conjecture (CCC); however, they generally violate it for linear test particle accretion with the exception of five-dimensional…

General Relativity and Quantum Cosmology · Physics 2020-02-26 Sanjar Shaymatov , Naresh Dadhich , Bobomurat Ahmedov

We construct examples of smooth surfaces S in P^6 with no trisecant lines. This list includes examples of surfaces not cut out by quadrics. We prove that unless S has a finite number of disjoint $(-1)$-lines, and each one meets some other…

alg-geom · Mathematics 2008-02-03 Sandra Di Rocco , Kristian Ranestad

In this note, we prove a quenched functional central limit theorem for a biased random walk on a supercritical Galton-Watson tree with leaves. This extends a result of Peres and Zeitouni (2008) where the case without leaves is considered. A…

Probability · Mathematics 2017-01-17 Adam Bowditch

We show that it is not possible to concentrate enough light to precipitate the formation of an event horizon. We argue that the dissipative quantum effects coming from the self-interaction of light (such as vacuum polarization) are enough…

General Relativity and Quantum Cosmology · Physics 2024-07-31 Álvaro Álvarez-Domínguez , Luis J. Garay , Eduardo Martín-Martínez , José Polo-Gómez

We consider quantum quenches in integrable systems where complete factorisation of scattering, transmission and particle creation processes is assumed at all times. We show that under this assumption, the simultaneous transmission and…

Statistical Mechanics · Physics 2015-11-18 Dirk Schuricht

It is well known that it is impossible to clone an arbitrary quantum state. However, this inability does not lead directly to no-cloning of quantum coherence. Here, we show that it is impossible to clone the coherence of an arbitrary…

We completely characterize the words that can be avoided in infinite squarefree ternary words.

Combinatorics · Mathematics 2007-05-23 Narad Rampersad

Non-overlapping codes have been studied for almost 60 years. In such a code, no proper, non-empty prefix of any codeword is a suffix of any codeword. In this paper, we study codes in which overlaps of certain specified sizes are forbidden.…

Information Theory · Computer Science 2023-08-23 Simon R. Blackburn , Navid Nasr Esfahani , Donald L. Kreher , Douglas R. Stinson

In the large N_c(number of colors) limit, quenched QCD and QCD are identical. This implies that, in the effective field theory framework, some of the low energy constants in (N_c=3) quenched QCD and QCD are the same up to higher-order…

High Energy Physics - Lattice · Physics 2015-06-25 Jiunn-Wei Chen

In this note we count linear arrangements that avoid certain patterns and show their connection to the derangement numbers. We discuss the sequence Dn, which counts linear arrangements that avoid patterns 12, 23, ..., (n-1)n, n1, and show…

Combinatorics · Mathematics 2016-10-07 Enrique Navarrete
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