Condensed-matter systems that are both low-dimensional and strongly interacting often exhibit unusual electronic properties. Strongly correlated electrons with greatly enhanced effective mass are present in heavy fermion compounds, whose electronic structure is essentially three-dimensional. We realized experimentally a two-dimensional heavy fermion system, adjusting the dimensionality in a con...

The continuum limit of lattice models arising in two-dimensional turbulence is analyzed by means of the theory of large deviations. In particular, the Miller Robert continuum model of equilibrium states in an ideal fluid and a modification of that model due to Turkington are examined in a unified framework, and the maximum entropy principles that govern these models are rigorously derived by a ...

Convergence of certain transforms of Markov processes generators implies large deviations. In this article, we apply abstract theorems of such type to stochastic evolution equations in real separable Hilbert space, giving diierent perspectives and extensions to some known results. When the drift term is semilinear, the rate function is explicitly identiied. The main large deviation theorem 18 3...

We characterize the late-time scaling state of dry, coarsening, two-dimensional froths using a detailed force-based dynamical model. We find that the slow evolution of bubbles leads to small and decreasing deviations from 120-degree angles at threefold vertices in the froth, but with a side-number dependence that is independent of time and apparently universal. We also find that a significant n...

1 The Cramer-Lundberg, renewal and perturbed reserves models: X t = x + p t − S(t) + Y (t) (1) S(t) = N(t) i=1 Z i where x denotes the initial reserve of an insurance company , p is the premium rate per unit of time, the i.i.d. random variables Z i with distribution function B(x) are the " claims " , and N t is a counting process 1). Alternatively , we have a SDE with constant coefficients dX t...

Suppose that the integers are assigned i.i.d. random variables f! x g (taking values in the unit interval), which serve as an environment. This environment deenes a random walk fX n g (called a RWRE) which, when at x, moves one step to the right with probability ! x , and one step to the left with probability 1 ? ! x. Solomon (1975) determined the almost-sure asymptotic speed v (=rate of escape...

In this paper we deal with a model describing the evolution in time of the density of a neural population in a state space, where the state is given by Izhikevich’s two dimensional single neuron model. The main goal is to mathematically describe the occurrence of a significant phenomenon observed in neurons populations, the synchronization. To this end, we are making the transition to phase den...

The title compound, C(13)H(9)BrF(3)N(5)O, crystallizes with two independent mol-ecules in the asymmetric unit. The pyrimidine rings of the mol-ecules are planar [maximum deviations 0.053 (3) and 0.012 (3) Å], while the triazine rings adopt flattened half-boat conformations with the p-bromo-phenyl rings in the flagpole positions. The crystal packing is stabilized by a three-dimensional network o...

By analyzing the spacing of genes on chromosomes, we find that transcriptional and RNA-processing regulatory sequences outside coding regions leave footprints on the distribution of intergenic distances. Using analogies between genes on chromosomes and one-dimensional gases, we constructed a statistical null model. We used this to estimate typical upstream and downstream regulatory sequence siz...