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Time Eigenstates for Potential Functions without Extremal Points
Entropy, 2013 In a previous paper, we introduced a way to generate a time coordinate system for classical and quantum systems when the potential function has extremal points.
Gabino Torres-Vega
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On some interconnections between combinatorial optimization and extremal graph theory [PDF]
Yugoslav Journal of Operations Research, 2004 The uniting feature of combinatorial optimization and extremal graph theory is that in both areas one should find extrema of a function defined in most cases on a finite set.
Cvetković Dragoš M. +2 more
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An extremal harmonic function [PDF]
Proceedings of the American Mathematical Society, 1969 surface 3x=h-'(X) and D(u; X) for the Dirichlet integral over the region ix bounded by a and fi. The main result of this paper is the inequality: maxhJ|Qx=m(h; X)=D(h; X)
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Robin functions and extremal functions [PDF]
Annales Polonici Mathematici, 2003 Let \(L\) denote the set of plurisubharmonic functions \(u\) on \(\mathbb C^n\) of logarithmic growth, that is \(u(z) \leq \text{log }^+|z|+C\). For a bounded Borel set \(E\) in \(\mathbb C^n\), define \(V_E(z) = \sup\{u(z): u\in L, u\leq 0 \text{ on } E\}\).
Bloom, T., Levenberg, N., Ma'u, S.
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Functional extreme learning machine
Frontiers in Computational Neuroscience, 2023 IntroductionExtreme learning machine (ELM) is a training algorithm for single hidden layer feedforward neural network (SLFN), which converges much faster than traditional methods and yields promising performance. However, the ELM also has some shortcomings, such as structure selection, overfitting and low generalization performance.MethodsThis article ...
Xianli Liu +6 more
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Equivalence of JT gravity and near-extremal black hole dynamics in higher derivative theory
Journal of High Energy Physics, 2022 Two derivative Jackiw-Teitelboim (JT) gravity theory captures the near-horizon dynamics of higher dimensional near-extremal black holes, which is governed by a Schwarzian action at the boundary in the near-horizon region.
Nabamita Banerjee +3 more
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The extremal function for K9= minors [PDF]
Journal of Graph Theory, 2019 AbstractWe prove the extremal function for minors, where denotes the complete graph with two edges removed. In particular, we show that any graph with vertices and at least edges either contains a minor or is isomorphic to a graph obtained from disjoint copies of and by identifying cliques of size 5.
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Aspects of Topological String Theory [PDF]
, 2008 Two aspects of the topological string and its applications are considered in this thesis. Firstly, non-perturbative contributions to the OSV conjecture relating four-dimensional extremal black holes and the closed topological string partition function ...
Cook, Paul Langabi Hogan
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Revisiting leading quantum corrections to near extremal black hole thermodynamics
Journal of High Energy Physics, 2023 Computing the 4D Euclidean path integral to one-loop order we find the large quantum corrections that govern the behavior of a spherically symmetric non-supersymmetric near-extremal black hole at very low temperature.
Nabamita Banerjee, Muktajyoti Saha
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A weighted extremal function and equilibrium measure
, 2017 We find an explicit formula for the weighted extremal function of $\mathbb{R}^n\subset \mathbb{C}^n$ with weight $(1+x_1^2+\cdots +x_n^2)^{-1/2}$ as well as its Monge-Ampère measure. As a corollary, we compute the Alexander capacity of $\mathbb{RP}^n$
Bos, Len +3 more
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