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We consider a random walk on a path with n nodes, with symmetric transition probabilities, i.e., the probability of making a transition between node i and node i+1 is the same as making a transition f...
We show how to exploit symmetries of a graph to efficiently compute the fastest mixing Markov chain on the graph (i.e., find the transition probabilities on the edges to minimize the second-largest ei...
From Stirring to Mixing in a Stratified Ocean     Stirring  Mixing  Stratified Ocean       font style='font-size:12px;'> 2015/8/3
Over fifty years ago, Carl Eckart described the sequence of processes as a passive scalar is stirred and mixed in a turbulent flow (Eckart, 1948). At first, during the stirring phase, the variance of ...
DIFFUSION AND MIXING IN FLUID FLOW     DIFFUSION  MIXING  FLUID FLOW       font style='font-size:12px;'> 2015/7/14
We study enhancement of diffusive mixing on a compact Riemannian manifold by a fast incompressible flow. Our main result is a sharp description of the class of flows that make the deviation of the sol...
Ocean Mixing by Kelvin-Helmholtz Instability     Ocean Mixing   Kelvin-Helmholtz Instability       font style='font-size:12px;'> 2015/7/14
Kelvin-Helmholtz (KH) instability, characterized by the distinctive finite-amplitude billows it generates, is an important mechanism in the development of turbulence in the stratified interior of ...
Fastest Mixing Markov Chain on a Graph     Mix  markov chain  figure       font style='font-size:12px;'> 2015/7/8
Fastest Mixing Markov Chain on a Graph。
Fastest mixing Markov chain on a path     Distribution probability  the edge  markov chain  random walk       font style='font-size:12px;'> 2015/7/8
We consider the problem of assigning transition probabilities to the edges of a path, so the resulting Markov chain or random walk mixes as rapidly as possible. In this note we prove that fastest mixi...
We consider a Markov process on a connected graph, with edges labeled with transition rates between the adjacent vertices. The distribution of the Markov process converges to the uniform distribution ...
The mathematics of mixing things up     Markov chains  rates of convergence  cutoff phenomenon       font style='font-size:12px;'> 2015/7/7
The mathematics of mixing things up。
Estuarine fronts are well known to influence transport of waterborne constituents such as phytoplankton and sediment, yet due to their ephemeral nature, capturing the physical driving mechanisms and t...
Through two numerical experiments, a 1-D vertical model called NEMO1D was used to investigate physical and numerical turbulent-mixing behaviour.
Light Quark Masses and Mixing Angles     Weak mixing elements  quarks  advanced theory       font style='font-size:12px;'> 2014/12/23
I review the present state of our knowledge about the masses and weak mixing elements of the u, d, s quarks. This is the written version of lectures given in the 1993 Theoretical Advanced Study Instit...
We discuss prospects for detecting the two charm-related phenomena of $D^0$-${\bar D}^0$ mixing and weak radiative decays of $D$ mesons ({\it e.g.} $D\to K^* + \gamma$). A general update of particle-a...
Isospin mixing and model dependence     Hyperon decay  depend on the model       font style='font-size:12px;'> 2014/12/23
We show that recent calculations of ΔI=3/2 effects in nonleptonic hyperon decay induced by md-mu≠0 are subject to significant model dependence. [S0556-2821(97)04819-4]
Chiral anomaly and eta-eta ' mixing     Octet  singlet pseudoscalar decay constant  mixing Angle       font style='font-size:12px;'> 2014/12/22
We determine the η-η′ mixing angle via a procedure relatively independent of theoretical assumptions by simultaneously fitting η,η′ reactions involving the anomaly η,η′→γγ, π+π-γ. We extract reasonabl...

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