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Theories without the tree property of the second kind
Theories the tree property of the second kind Logic
2012/4/23
We initiate a systematic study of the class of theories without the tree property of the second kind -- NTP2. Most importantly, we show: the burden is "sub-multiplicative" in arbitrary theories (in pa...
Tree Codes Improve Convergence Rate of Consensus Over Erasure Channels
Tree Codes Convergence Rate of Consensus Erasure Channels Optimization and Control
2012/4/17
We study the problem of achieving average consensus between a group of agents over a network with erasure links. In the context of consensus problems, the unreliability of communication links between ...
Rubber Tree Distribution Mapping in Northeast Thailand
Northeast Thailand Rubber Tree Mapping Land-Use and land-Cover Change
2013/3/7
In many parts of mainland Southeast Asia rubber plantations are expanding rapidly in areas where the crop was not historically found. Monitoring and mapping the distribution of rubber trees in the reg...
Indirect benefits of symbiotic coccoids for an ant-defended myrmecophytic tree
ant plant Area de Conservacio′n Guanacaste Costa Rica
2015/11/13
The net benefits of mutualism depend directly on the costs and effectiveness of
mutualistic services and indirectly on the interactions that affect those services. We examined
interactions amo...
On $p$-adic Gibbs Measures for Hard Core Model on a Cayley Tree
Cayley trees hard core interaction Gibbs measures translation invariant measures periodic measures
2011/9/20
Abstract: In this paper we consider a nearest-neighbor $p$-adic hard core (HC) model, with fugacity $\lambda$, on a homogeneous Cayley tree of order $k$ (with $k + 1$ neighbors). We focus on $p$-adic ...
Framework for discrete-time quantum walks and a symmetric walk on a binary tree
discrete-time quantum walks symmetric walk Framework Quantum Physics
2011/10/9
Abstract: We formulate a framework for discrete-time quantum walks, motivated by classical random walks with memory. We present a specific representation of the classical walk with memory 2 on which t...
Convergence of Galaxy Properties with Merger Tree Temporal Resolution
galaxies cosmology galactic structure galaxy evolution galaxy formation
2011/10/12
Dark matter halo merger trees are now routinely extracted from cosmological simulations of structure formation. These trees are frequently used as inputs to semi-analytic models of galaxy formation to...
Record process on the Continuum Random Tree
continuum random tree, records, cutting down a tree
2011/9/14
Abstract: We consider the number of cuts $X_n^*$ needed to isolate the root of the sub-tree spanned by $n$ leaves uniformly chosen at random in Aldous's continuum random tree $\ct$. We prove the almos...
Divergent directions in some periodic wind-tree models
Divergent directions periodic wind-tree models Dynamical Systems
2011/9/5
Abstract: The periodic wind-tree model is a family T(a,b) of billiards in the plane in which identical rectangular scatterers of size axb are disposed at each integer point. It was proven by P. Hubert...
Diffusion for the periodic wind-tree model
Billiards diffusion translations surfaces Lyapunov exponents ergodic averages
2011/8/31
Abstract: The periodic wind-tree model is an infinite billiard in the plane with identical rectangular scatterers disposed at each integer point. We prove that independently of the size of the scatter...
Approximate group context tree: applications to dynamic programming and dynamic choice models
categorical time series group context tree dynamic discrete choice models dynamic programming model selection VLMC
2011/9/29
Abstract: The paper considers a variable length Markov chain model associated with a group of stationary processes that share the same context tree but potentially different conditional probabilities....
Abstract: The degree chromatic polynomial $Pm(G,k)$ of a graph $G$ counts the number of $k$-colorings in which no vertex has $m$ adjacent vertices of its same color. We prove Humpert and Martin's conj...
Distribution and isotopic composition of n-alkanes from grass, reed and tree leaves along a latitudinal gradient in China
plant n-alkanes carbon isotopes hydrogen isotopes China
2017/4/12
Molecular composition and compound-specific carbon and hydrogen stable isotope ratios of n-alkanes are presented
for leaves of grass, reeds and trees from five regions extending between latitudes 22°...
On a lexical tree for the middle-levels graph problem
lexical tree middle-levels graph problem
2011/1/18
A conjecture of I. H´avel asserts that all middle-levels graphs Mk of the (2k + 1)-cubes possess Hamilton cycles. In this work, a tree containing all vertices of certain reduced graphs of the Mk...
Pattern closure of groups of tree automorphisms
closed self-similar groups finitely constrained groups
2011/1/19
It is shown that a group defined by forbidding all patterns of size s + 1 that do not appear in a given self-simialr group of tree automorphisms is the topological closure of a self-similar, countable...