[PDF] Top 20 Large deviations and metastability in condensing stochastic particle systems
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Large deviations and metastability in condensing stochastic particle systems
... In Chapter 4 we demonstrated how we may exploit the generality of the scales used in Chapter 3 to study the leading order finite-size effects in a condensing zero-range process around the critical point. It was ... See full document
189
Ergodicity and metastability for the stochastic quantisation equation
... condition. Large deviations were studied in [HW15, CD17] and an Eyring–Kramers law for the transition times of Galerkin approximations to the solutions was established in ... See full document
158
Dynamic properties of condensing particle systems
... densing stochastic particle ...a stochastic particle system without restriction on the local oc- cupation numbers and the jump rate only depends on the number of particles on the departure ... See full document
148
Monotonicity and condensation in homogeneous stochastic particle systems
... (attractive) particle systems preserve the partial order on the state space in time, which enables the use of powerful coupling techniques to derive rigorous results on large scale dynamic properties ... See full document
30
Large scale dynamics and fluctuations in non equilibrium stochastic particle systems
... The large deviation behaviour of dynamic observables has been a topic of major recent research interest in ...the particle current as one of the most important characteristics of nonequilibrium ... See full document
141
Population dynamics and stochastic particle systems
... finite systems with stationary product measures, the condensed phase occupies only a single lattice site, which is located uniformly at random on the ...lattice. Condensing models with ho- mogeneous ... See full document
117
Metastability in a condensing zero range process in the thermodynamic limit
... of metastability phenomena in stochastic particle or spin systems has been a subject of major recent ...such systems, the configuration space contains two or more disjoint metastable ... See full document
58
Large deviations technique on stochastic reaction diffusion equations
... This equation arises naturally as a continuum limit of certain interacting particle systems (see [32] ) In [34], the author considered this equation on domain R, not on [0, L]. He proved that for any ... See full document
131
Metastability in Schloegl’s second model for autocatalysis: Lattice gas realization with particle diffusion
... diffusion systems, where the hop rate is sufficiently large to ensure effective mixing and thus mean-field reaction kinet- ics, but not so large as to completely quench fluctuations ...moderate ... See full document
14
Current large deviations for partially asymmetric particle systems on a ring
... study large deviations for the current of one-dimensional stochastic particle systems with periodic boundary ...asymmetric systems and systems with convex as well as ... See full document
24
Large Deviations and the Distribution of Price Changes
... The distribution of local H¨ older exponents over time is described by the multifractal spectrum f (α), a renormalized density obtained as the limit of histograms. In an alternative interpretation, f (α) is viewed as the ... See full document
30
Comparing the effectiveness of small-particle versus large-particle inhaled corticosteroid in COPD
... therapy (Yes/no), cardiac disease diagnosis and/or therapy (Yes/no), acute use of oral steroids (categorized), number of primary care consultations (categorized), prior LABA use (Yes/[r] ... See full document
24
Large deviations for exchangeable observations with applications
... We first prove some large deviation results for a mixture of i.i.d. random variables. Com- pared with most of the known results in the literature, our results are built on relaxing some restrictive conditions that ... See full document
12
Random sampling and large deviations
... We are interested in finding out how the random sampling transformation affects the large deviations properties of the underlying process, and, if possible, relating the rate functions of {Xt} and {T„} to ... See full document
93
Stochastic PDES, regularity structures, and interacting particle systems
... Remark 1.6. We will see below that the statement of Metatheorem 1.4 really consists of two independent statements: (i) For subcritical equations it is possible to build the algebraic and analytic structure that allows to ... See full document
46
Derivation of mean field equations for stochastic particle systems
... Our result provides a contribution towards a rigorous understanding of the approach to station- arity in the thermodynamic limit of diverging system size and particle number. This exhibits an interesting ... See full document
27
Numerical methods in the context of compartmental models in epidemiology
... The large deviations theory will tell us about the deviations between the long–term behaviors of the solution of the SDE and of its ODE LLN ... See full document
21
Incorporating terminal velocities into Lagrangian stochastic models of particle dispersal in the atmospheric boundary layer
... Lagrangian stochastic models for simulation of tracer-particle trajectories in non- Gaussian turbulence ...underlying stochastic model is founded on non-Gaussian velocity statistics, because 195 ... See full document
17
Singularities in large deviations of work in quantum quenches
... separately in each phase, the thermodynamic properties of the Dicke model. More specifically, one can interpret them as an effective description of the dominating Gaus- sian fluctuations of the order parameter far from ... See full document
8
Large-eddy simulation and stochastic modeling of Lagrangian particles for footprint determination in the stable boundary layer
... were highly correlated with the resolved velocity u in time and space. This is due to the specifics of the spatial filter (Eq. 24) used for the recovering given by Eqs. (25) and (26). This filter has a smooth transfer ... See full document
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