Hamilton Bland - Wikipedia
Hamilton Bland (born 1943) was a leading BBC swimming commentator, once known as the "Voice of Swimming". Bland originally worked at Rugby School before
Energy-conserving Kansa methods for Hamiltonian wave equations
We introduce a fast, constrained meshfree solver designed specifically to inherit energy conservation (EC) in second-order time-dependent Hamiltonian wave equations. For discretization, we adopt the Kansa method, also known as the kernel-based colloc...
On the dbar-dressing method applicable to heavenly equation
The $\dbar$-dressing scheme based on local nonlinear vector $\dbar$-problem is developed. It is applicable to multidimensional nonlinear equations for vector fields, and, after Hamiltonian reduction, to heavenly equation. Hamiltonian reduction is d...
Emma Walton Hamilton - Wikipedia
Emma Katherine Walton Hamilton (née Walton; born 27 November 1962) is a British-American children's book author, theatrical director, and actress. She
Essential loops in completions of Hamiltonian groups
We initiate the study of the fundamental group of natural completions of the group of Hamiltonian diffeomorphisms, namely its $C^0$-closure $\overline{\mathrm{Ham}}(M,ω)$ and its completion with respect to the spectral norm $\widehat{\mathrm{Ham}}(M...
Symmetries and hamiltonians of Ince's XXXVIII and XLIX equations
We discuss symmetries of Hamiltonians of I$_{38}$ and I$_{49}$ equations that appear on Ince's list of fifty second-order differential equations with Painlevé property. This study is informed by structure of Weyl symmetries of Painlevé P$_{III}$ an...
Quantum Scar States in Coupled Random Graph Models
We analyze the Hilbert space connectivity of the $L$ site PXP-model by constructing the Hamiltonian matrices via a Gray code numbering of basis states. The matrices are all formed out of a single Hamiltonian-path backbone and entries on skew-diagonal...
What Moser Could Have Asked: Counting Hamilton Cycles in Tournaments
Moser asked for a construction of explicit tournaments on $n$ vertices having at least $(\frac{n}{3e})^n$ Hamilton cycles. We show that he could have asked for rather more....
A Characteristic Number of Hamiltonian Bundles over $S^2$
Each loop $ψ$ in the group $\text{Ham}(M)$ of Hamiltonian diffeomorphisms of a symplectic manifold $M$ determines a fibration $E$ on $S^2$, whose coupling class \cite{G-L-S} is denoted by $c$. If $VTE$ is the vertical tangent bundle of $E$, we rel...
Finding the closest normal structured matrix
Given a structured matrix $A$ we study the problem of finding the closest normal matrix with the same structure. The structures of our interest are: Hamiltonian, skew-Hamiltonian, per-Hermitian, and perskew-Hermitian. We develop a structure-preservin...
Perturbation Theory for the Thermal Hamiltonian: 1D Case
This work continues the study of the thermal Hamiltonian, initially proposed by J. M. Luttinger in 1964 as a model for the conduction of thermal currents in solids. The previous work [DL] contains a complete study of the "free" model in one spatial d...
Hamiltonian Maker-Breaker games on small graphs
We look at the unbiased Maker-Breaker Hamiltonicity game played on the edge set of a complete graph $K_n$, where Maker's goal is to claim a Hamiltonian cycle. First, we prove that, independent of who starts, Maker can win the game for $n = 8$ and $n...
Hamilton path decompositions of complete multipartite graphs
We prove that a complete multipartite graph $K$ with $n>1$ vertices and $m$ edges can be decomposed into edge-disjoint Hamilton paths if and only if $\frac m{n-1}$ is an integer and the maximum degree of $K$ is at most $\frac {2m}{n-1}$....
On Hamilton Decompositions of Line Graphs of Non-Hamiltonian Graphs and Graphs without Sep…
In contrast with Kotzig's result that the line graph of a $3$-regular graph $X$ is Hamilton decomposable if and only if $X$ is Hamiltonian, we show that for each integer $k\geq 4$ there exists a simple non-Hamiltonian $k$-regular graph whose line gra...
Vertex-transitive graphs that have no Hamilton decomposition
It is shown that there are infinitely many connected vertex-transitive graphs that have no Hamilton decomposition, including infinitely many Cayley graphs of valency 6, and including Cayley graphs of arbitrarily large valency....
Lewis Hamilton controls F1 car via Blackberry Storm (vid)
Points: 1 | Comments: 0 | Author: transburgh
Finding tight Hamilton cycles in random hypergraphs faster
In an $r$-uniform hypergraph on $n$ vertices a tight Hamilton cycle consists of $n$ edges such that there exists a cyclic ordering of the vertices where the edges correspond to consecutive segments of $r$ vertices. We provide a first deterministic po...
Hamilton Naki - Wikipedia
Hamilton Naki (26 June 1926 – 29 May 2005) was a South African laboratory assistant known for his contributions to surgical research and medical training
Chevalley property and discriminant ideals of Cayley-Hamilton Hopf Algebras
For any affine Hopf algebra $H$ which admits a large central Hopf subalgebra, $H$ can be endowed with a Cayley-Hamilton Hopf algebra structure in the sense of De Concini-Procesi-Reshetikhin-Rosso. The category of finite-dimensional modules over any f...
How much does a Hamiltonian cycle weigh?
In this paper we investigate how much Hamiltonian cycles weigh in K_4 and K_5 compare to the total weight of the graph and establish precise estimates....