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pro vyhledávání: '"Johnston, Samuel"'
A Gelfand-Tsetlin function is a real-valued function $\phi:C \to \mathbb{R}$ defined on a finite subset $C$ of the lattice $\mathbb{Z}^2$ with the property that $\phi(x) \leq \phi(y)$ for every edge $\langle x,y \rangle$ directed north or east betwee
Externí odkaz:
http://arxiv.org/abs/2410.10754
The Horn inequalities characterise the possible spectra of triples of $n$-by-$n$ Hermitian matrices $A+B=C$. We study integral inequalities that arise as limits of Horn inequalities as $n \to \infty$. These inequalities are parametrised by the points
Externí odkaz:
http://arxiv.org/abs/2410.08907
Take a self-similar fragmentation process with dislocation measure $\nu$ and index of self-similarity $\alpha > 0$. Let $e^{-m_t}$ denote the size of the largest fragment in the system at time $t\geq 0$. We prove fine results for the asymptotics of t
Externí odkaz:
http://arxiv.org/abs/2409.11795
Autor:
Johnston, Samuel
Using recent results of Battistella, Nabijou, Ranganathan and the author, we compare candidate mirror algebras associated with certain log Calabi-Yau pairs constructed by Gross-Siebert using log Gromov-Witten theory and Tseng-You using orbifold Gromo
Externí odkaz:
http://arxiv.org/abs/2403.05376
Let $\mu$ and $\nu$ be probability measures on $\mathbb{R}$ with compact support, and let $\mu \boxplus \nu$ denote their additive free convolution. We show that for $z \in \mathbb{R}$ greater than the sum of essential suprema of $\mu$ and $\nu$, we
Externí odkaz:
http://arxiv.org/abs/2309.12196
Autor:
Johnston, Samuel G. G.
Let $X_1,\ldots,X_N$ be i.i.d.\ random variables distributed like $X$. Suppose that the first $k \geq 3$ moments $\{ \mathbb{E}[X^j] : j = 1,\ldots,k\}$ of $X$ agree with that of the standard Gaussian distribution, that $\mathbb{E}[|X|^{k+1}] < \inft
Externí odkaz:
http://arxiv.org/abs/2305.18138
Consider a population evolving as a critical continuous-time Galton-Watson (GW) tree. Conditional on the population surviving until a large time $T$, sample $k$ individuals uniformly at random (without replacement) from amongst those alive at time $T
Externí odkaz:
http://arxiv.org/abs/2302.02960
Autor:
Bisi, Elia, Dyszewski, Piotr, Gantert, Nina, Johnston, Samuel G. G., Prochno, Joscha, Schmid, Dominik
We develop a probabilistic approach to the celebrated Jacobian conjecture, which states that any Keller map (i.e. any polynomial mapping $F\colon \mathbb{C}^n \to \mathbb{C}^n$ whose Jacobian determinant is a nonzero constant) has a compositional inv
Externí odkaz:
http://arxiv.org/abs/2301.08221
Autor:
Johnston, Samuel
Given a log smooth scheme $(X,D)$, and a log \'etale modification $(\tilde{X},\tilde{D}) \rightarrow (X,D)$, we relate the punctured Gromov-Witten theory of $(\tilde{X},\tilde{D})$ to the punctured Gromov-Witten theory of $(X,D)$, generalizing result
Externí odkaz:
http://arxiv.org/abs/2210.06079
Autor:
Johnston, Samuel G. G.
In a previous article, we develop a continuous version of Kasteleyn theory to study the bead model on the torus. These are the point processes on the semi-discrete torus $\mathbb{T}_n := [0,1) \times \{0,1,\ldots,n-1\}$ (thought of as $n$ unit length
Externí odkaz:
http://arxiv.org/abs/2208.00839