It has recently been shown that the third law of thermodynamics is violated by an entire class of classical Hamiltonians in one dimension, over a finite volume of coupling-constant space, assuming only that certain elementary symmetries are exact,...
Elizabeth Hamilton (née Schuyler /ˈskaɪlər/; August 9, 1757 – November 9, 1854) was an American socialite and philanthropist. She was the wife of American
We present Akasha 2, a state-of-the-art multimodal architecture that integrates Hamiltonian State Space Duality (H-SSD) with Visual-Language Joint Embedding Predictive Architecture (VL-JEPA). The system leverages the Mamba-3 Selective State Space Mod...
In a series of papers, of which this is the first, we study sufficient conditions for Hamiltonicity in terms of forbidden induced subgraphs and extend such results to locally finite infinite graphs. For this we use topological circles within the Freu...
We analyze the mixing time of Metropolized Hamiltonian Monte Carlo (HMC) with the leapfrog integrator to sample from a distribution on $\mathbb{R}^d$ whose log-density is smooth, has Lipschitz Hessian in Frobenius norm and satisfies isoperimetry. We...
Hamiltonian Monte Carlo (HMC) is a state-of-the-art Markov chain Monte Carlo sampling algorithm for drawing samples from smooth probability densities over continuous spaces. We study the variant most widely used in practice, Metropolized HMC with the...
For some time the York time parameter has been identified as a candidate for a physically meaningful time in cosmology. An associated Hamiltonian may be found by solving the Hamiltonian constraint for the momentum conjugate to the York time variable,...
the name "Tiger-Cats". Since 1950, the team has won the Grey Cup championship eight times, most recently in 1999. The Hamilton Tiger-Cats Football Club
17 hours ago · Kim Kardashian and Lewis Hamilton appear to be easing their rumored romance into the public eye very carefully. Over the weekend, the 45-year-old entrepreneur and the 41-year-old …
Motivated by the work of previous authors on vortex sheets and their applications, the intrinsic inviscid evolution equations of a closed vortex sheet in a plane, separating two piecewise constant density fluids, and their Hamiltonian form are invest...
The topological invariants of gapped time reversal invariant lattice superconductors are studied by mapping the superconducting mean field Hamiltonian to a Bloch Hamiltonian. There is a single $Z_2 $ invariant in two dimensions and four such invari...
Density matrix exponentiation (DME) is a quantum algorithm that processes multiple copies of a program state $σ$ to realize the Hamiltonian evolution $e^{-i σt}$. Wave matrix Lindbladization (WML) similarly processes multiple copies of a program st...
This note supplements our paper "Induced nets and Hamiltonicity of claw-free graphs", by giving the detailed proof that were omitted in it....
Points: 55 | Comments: 25 | Author: agronaut
Let $G$ be a simple connected graph of order $n$. A hamiltonian coloring $c$ of a graph $G$ is an assignment of colors (non-negative integers) to the vertices of $G$ such that $D(u, v)$ + $|c(u) - c(v)|$ $\geq$ $n - 1$ for every two distinct vertices...
Hamilton: An American Musical is a sung-and-rapped-through biographical musical with music, lyrics, and a book by Lin-Manuel Miranda. Based on the 2004
Compact Ricci solitons on surfaces have at most two cone points, and are known as Hamilton's footballs. In this note we completely describe the degenerations of these footballs as one or both of the cone angles approaches zero. In particular, we show...
Get this weekly: [https://www.hellohamilton.co.nz/](https://www.hellohamilton.co.nz/) **Australia's Thunder From Down Under | Thu 19th** 7:30pm at Clarence St Theatre. Hold onto your hats, Hamilton! ...
Let $D$ be a bounded domain in a complex Banach space. According to the Earle-Hamilton fixed point theorem, if a holomorphic mapping $F : D \mapsto D$ maps $D$ strictly into itself, then it has a unique fixed point and its iterates converge to this f...
In Graph Theory a number of results were devoted to studying the computational complexity of the number modulo 2 of a graph's edge set decompositions of various kinds, first of all including its Hamiltonian decompositions, as well as the number modul...