Results 21 to 30 of about 243 (89)

An aperiodic monotile that forces nonperiodicity through dendrites

open access: yesBulletin of the London Mathematical Society, Volume 52, Issue 5, Page 942-959, October 2020., 2020
Abstract We introduce a new type of aperiodic hexagonal monotile; a prototile that admits infinitely many tilings of the plane, but any such tiling lacks any translational symmetry. Adding a copy of our monotile to a patch of tiles must satisfy two rules that apply only to adjacent tiles. The first is inspired by the Socolar–Taylor monotile, but can be
Michael Mampusti, Michael F. Whittaker
wiley   +1 more source

Initial results from COMPTEL—an overview [PDF]

open access: yes, 1993
COMPTEL is presently completing the first full sky survey in MeV gamma‐ray astronomy (0.7 to 30 MeV). An overview of initial results from the survey is given: among these are the observations of the Crab and Vela pulsars with unprecedented accuracy, the ...
Bennett, K   +23 more
core   +2 more sources

F‐Manifolds and geometry of information

open access: yesBulletin of the London Mathematical Society, Volume 52, Issue 5, Page 777-792, October 2020., 2020
Abstract The theory of F‐manifolds, and more generally, manifolds endowed with commutative and associative multiplication of their tangent fields, was discovered and formalised in various models of quantum field theory involving algebraic and analytic geometry, at least since the 1990s. The focus of this paper consists in the demonstration that various
Noémie Combe, Yuri I. Manin
wiley   +1 more source

The Real 3x+1 Problem [PDF]

open access: yes, 2006
In this work, we introduce another extension U of the 3n+1 function to the real line. We propose a conjecture about the U-trajectories that generalizes the famous 3n+1 (or Collatz) conjecture.
Konstadinidis, Pavlos B.
core   +2 more sources

E8 spectral curves

open access: yesProceedings of the London Mathematical Society, Volume 121, Issue 4, Page 954-1032, October 2020., 2020
Abstract I provide an explicit construction of spectral curves for the affine E8 relativistic Toda chain. Their closed‐form expression is obtained by determining the full set of character relations in the representation ring of E8 for the exterior algebra of the adjoint representation; this is in turn employed to provide an explicit construction of ...
Andrea Brini
wiley   +1 more source

An effective equidistribution result for SL(2,R)⋉(R2)⊕k and application to inhomogeneous quadratic forms

open access: yesJournal of the London Mathematical Society, Volume 102, Issue 1, Page 143-204, August 2020., 2020
Abstract Let G=SL(2,R)⋉(R2)⊕k and let Γ be a congruence subgroup of SL(2,Z)⋉(Z2)⊕k. We prove a polynomially effective asymptotic equidistribution result for special types of unipotent orbits in Γ∖G which project to pieces of closed horocycles in SL(2,Z)∖SL(2,R).
Andreas Strömbergsson, Pankaj Vishe
wiley   +1 more source

Location of zeros for the partition function of the Ising model on bounded degree graphs

open access: yesJournal of the London Mathematical Society, Volume 101, Issue 2, Page 765-785, April 2020., 2020
Abstract The seminal Lee–Yang theorem states that for any graph the zeros of the partition function of the ferromagnetic Ising model lie on the unit circle in C. In fact, the union of the zeros of all graphs is dense on the unit circle. In this paper, we study the location of the zeros for the class of graphs of bounded maximum degree d⩾3, both in the ...
Han Peters, Guus Regts
wiley   +1 more source

The modified Ishikawa iteration process with errors in CAT(0) spaces

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020
In this article, Δ-convergence and strong convergence of the modified Ishikawa iteration process with errors are established for continuous mappings of asymptotically nonexpansive type in CAT(0) spaces. Our results extend and improve the previous results
Ranjbar Sajad
doaj   +1 more source

EXTENSION THEOREMS FOR THE MATKOWSKI-SUTO PROBLEM

open access: yes, 2000
is studied, where in a small subinterval of I. 1. History of the Problem In 1914 O. Suto published a paper of two parts in the Tohoku Mathematical Journal [11], in which he first examined the functional equation ( i .
Z. Daróczy, Gyula Maksa, Zsolt Páles
semanticscholar   +1 more source

Around a problem of Nicole Brillouët–Belluot [PDF]

open access: yes, 2013
We determine nontrivial intervals I ⊂ (0,+∞), numbers α ∈ R and continuous bijections f : I → I such that f(x)f−1(x) = xα for every x ...
C.T. Ng   +12 more
core   +1 more source

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