Zobrazeno 1 - 10
of 338
pro vyhledávání: '"Ponomarenko, Vadim"'
Fix $t\in [1,\infty]$. Let $S$ be an atomic commutative semigroup and, for all $x\in S$, let $\mathscr{L}_t(S):=\{\|f\|_t:f\in Z(x)\}$ be the "$t$-length set" of $x$ (using the standard $l_p$-space definition of $\|\cdot\|_t$). The $t$-Delta set of $
Externí odkaz:
http://arxiv.org/abs/2404.02310
Understanding topological matter in the fractional quantum Hall (FQH) effect requires identifying the nature of edge state quasiparticles. FQH edge state at the filling factor $\nu=2/3$ in the spin-polarized and non-polarized phases is represented by
Externí odkaz:
http://arxiv.org/abs/2311.05142
Autor:
Brower, Cole, Chapman, Scott, Kulhanek, Travis, McDonough, Joseph, O'Neill, Christopher, Pavlyuk, Vody, Ponomarenko, Vadim
Length density is a recently introduced factorization invariant, assigned to each element $n$ of a cancellative commutative atomic semigroup $S$, that measures how far the set of factorization lengths of $n$ is from being a full interval. We examine
Externí odkaz:
http://arxiv.org/abs/2110.10618
Autor:
Wang, Ying, Ponomarenko, Vadim, West, Kenneth W., Baldwin, Kirk, Pfeiffer, Loren N., Lyanda-Geller, Yuli, Rokhinson, Leonid P.
Publikováno v:
Nature Communications 12, 5312 (2021)
Domain walls in fractional quantum Hall ferromagnets are gapless helical one-dimensional channels formed at the boundaries of topologically distinct quantum Hall (QH) liquids. Na\"{i}vely, these helical domain walls (hDWs) constitute two counter-prop
Externí odkaz:
http://arxiv.org/abs/2101.00126
A numerical set $S$ is a cofinite subset of $\mathbb{N}$ which contains $0$. We use the natural bijection between numerical sets and Young diagrams to define a numerical set $\widetilde{S}$, such that their Young diagrams are complements. We determin
Externí odkaz:
http://arxiv.org/abs/2009.05646
For a commutative cancellative monoid $M$, we introduce the notion of the length density of both a nonunit $x\in M$, denoted $\mathrm{LD}(x)$, and the entire monoid $M$, denoted $\mathrm{LD}(M)$. This invariant is related to three widely studied inva
Externí odkaz:
http://arxiv.org/abs/2008.06725
A numerical semigroup $S$ is an additive subsemigroup of the non-negative integers, containing zero, with finite complement. Its multiplicity $m$ is its smallest nonzero element. The Apery set of $S$ is the set $\text{Ap}(S) = \{n \in S : n-m \notin
Externí odkaz:
http://arxiv.org/abs/1908.06448
Autor:
Autry, Jackson, Ponomarenko, Vadim
For affine monoids of dimension 2 with embedding dimension 2 and 3, we study the problem of determining when a vector is an element of the monoid, and the problem of determining the elasticity of a monoid element.
Externí odkaz:
http://arxiv.org/abs/1812.02854
A numerical semigroup $S$ is a subset of the non-negative integers containing $0$ that is closed under addition. The Hilbert series of $S$ (a formal power series equal to the sum of terms $t^n$ over all $n \in S$) can be expressed as a rational funct
Externí odkaz:
http://arxiv.org/abs/1806.11148
Autor:
Autry, Jackson, Graves, Paige, Loucks, Jessie, O'Neill, Christopher, Ponomarenko, Vadim, Yih, Samuel
Publikováno v:
Involve 14 (2021) 1-9
A numerical semigroup $S$ is an additive subsemigroup of the non-negative integers with finite complement, and the squarefree divisor complex of an element $m \in S$ is a simplicial complex $\Delta_m$ that arises in the study of multigraded Betti num
Externí odkaz:
http://arxiv.org/abs/1804.06632