10,074 research outputs found
Sandpile models : The infinite volume model, Zhang's model and limiting shapes
No full textMeester, R.W.J. [Promotor]Redig, F. [Copromotor
RANDOM WALKS IN DYNAMIC RANDOM ENVIRONMENTS: A TRANSFERENCE PRINCIPLE
No full textWe study a general class of random walks driven by a uniquely ergodic Markovian environment. Under a coupling condition on the environment we obtain strong ergodicity properties for the environment as seen from the position of the walker, that is, the environment process. We can transfer the rate of mixing in time of the environment to the rate of mixing of the environment process with a loss of at most polynomial order. Therefore the method is applicable to environments with sufficiently fast polynomial mixing. We obtain unique ergodicity of the environment process. Moreover, the unique invariant measure of the environment process depends continuously on the jump rates of the walker. As a consequence we obtain the law of large numbers and a central limit theorem with nondegenerate variance for the position of the walk.NWO [600.065.100.07N14
Letter from Frank Chin
No full textA letter from Frank Chin arguing that their should be a day name after Japanese American activist James Omura, and describing the kind of celebration that should take place in his honor. The day Chin proposes in November 27th, Omura's birthday.These materials are from box 73 and 74 of the Frank Chin Papers. The Frank Chin Papers contain personal and professional correspondence between Frank Chin and Michi Weglyn relating to particular projects on which either author was working as well as files related to the Day of Remembrance Tribute to Michi Weglyn
Letter from [Frank] Chin to Paul [Tsuneishi], December 23, 1997
No full textA letter to Paul [Tsuneishi] from [Frank] Chin about planning the speakers and the media outreach for "Michi Day," the event to celebrate author Michi Weglyn and her book "Years of Infamy."These materials are from box 73 and 74 of the Frank Chin Papers. The Frank Chin Papers contain personal and professional correspondence between Frank Chin and Michi Weglyn relating to particular projects on which either author was working as well as files related to the Day of Remembrance Tribute to Michi Weglyn
Hydrodynamics for the partial exclusion process in random environment
No full textIn this paper, we introduce a random environment for the exclusion process in Zd obtained by assigning a maximal occupancy to each site. This maximal occupancy is allowed to randomly vary among sites, and partial exclusion occurs. Under the assumption of ergodicity under translation and uniform ellipticity of the environment, we derive a quenched hydrodynamic limit in path space by strengthening the mild solution approach initiated in Nagy (2002) and Faggionato (2007). To this purpose, we prove, employing the technology developed for the random conductance model, a homogenization result in the form of an arbitrary starting point quenched invariance principle for a single particle in the same environment, which is a result of independent interest. The self-duality property of the partial exclusion process allows us to transfer this homogenization result to the particle system and, then, apply the tightness criterion in Redig et al. (2020)
Letter from Frank Chin to Dale [Minami], December 7, 1997
No full textA letter from Frank Chin to Dale [Minami] thanking him for sending a VHS clip for "Michi Day." Chin devotes the bulk of the letter to a proposal for creating a bell, that would be made of pieces of metal from incarceration camps, to celebrate Japanese American redress.These materials are from box 73 and 74 of the Frank Chin Papers. The Frank Chin Papers contain personal and professional correspondence between Frank Chin and Michi Weglyn relating to particular projects on which either author was working as well as files related to the Day of Remembrance Tribute to Michi Weglyn
Letter from [Frank] Chin to David
No full textA letter from [Frank] Chin to David about buying space for a classified ad in the New York Times Sunday Book Review, that will mention the tribute to Michi Weglyn in February of 1998. The purpose of the ad is to solicit "photos and artifacts depicting the different phases of Michi's life." Chin writes that the materials will be used in"Yosh Kurimoya's Michi Show" at the event.These materials are from box 73 and 74 of the Frank Chin Papers. The Frank Chin Papers contain personal and professional correspondence between Frank Chin and Michi Weglyn relating to particular projects on which either author was working as well as files related to the Day of Remembrance Tribute to Michi Weglyn
Asymmetric Stochastic Transport Models with Uq(su(1,1)) Symmetry
No full textBy using the algebraic construction outlined in Carinci et al. (arXiv:?1407.?3367, 2014), we introduce several Markov processes related to the Uq(su(1,1)) quantum Lie algebra. These processes serve as asymmetric transport models and their algebraic structure easily allows to deduce duality properties of the systems. The results include: (a) the asymmetric version of the Inclusion Process, which is self-dual; (b) the diffusion limit of this process, which is a natural asymmetric analogue of the and which turns out to have the Symmetric Inclusion Process as a dual process; (c) the asymmetric analogue of the KMP Process, which also turns out to have a symmetric dual process. We give applications of the various duality relations by computing exponential moments of the current.Delft Institute of Applied MathematicsElectrical Engineering, Mathematics and Computer Scienc
Letter from [Frank Chin] to Momo and Lawson, January 21, 1998
No full textA letter to Momo and Lawson, possibly from Frank Chin, about a performance of the story Kaguya Hime, princess of the moon in Japanese folklore. The purpose of the performance is to drum up interest for the children's storytelling event that would be part of the tribute to Michi Weglyn on February 21, 1998.These materials are from box 73 and 74 of the Frank Chin Papers. The Frank Chin Papers contain personal and professional correspondence between Frank Chin and Michi Weglyn relating to particular projects on which either author was working as well as files related to the Day of Remembrance Tribute to Michi Weglyn
Spatial fluctuation theorem
No full textFor non-equilibrium systems of interacting particles and for interacting diffusions in d-dimensions, a novel fluctuation relation is derived. The theorem
establishes a quantitative relation between the probabilities of observing two current values in different spatial directions. The result is a consequence of
spatial symmetries of the microscopic dynamics, generalizing in this way the Gallavotti–Cohen fluctuation theorem related to the time-reversal symmetry.
This new perspective opens up the possibility of direct experimental measurements of fluctuation relations of vectorial observables
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