Random field induced order in low dimension

Autoregressive Gaussian Random Vectors of First Order

Random walks in noninteger dimension

One can define a random walk on a hypercubic lattice in a space of integer dimension D. For such a process formulas can be derived that express the probability of certain events, such as the chance of returning to the origin after a given number of time steps. These formulas are physically meaningful for integer values of D. However, these formulas are unacceptable as probabilities when continu...

Semi-Markov Conditional Random Field with High-Order Features

We extend first-order semi-Markov conditional random fields (semi-CRFs) to include higherorder semi-Markov features, and present efficient inference and learning algorithms, under the assumption that the higher-order semiMarkov features are sparse. We empirically demonstrate that high-order semi-CRFs outperform high-order CRFs and first-order semi-CRFs on three sequence labeling tasks with long...

Title : Extrusion Induced Low - Order Starch Matrices :

Field-induced order and magnetization plateaux in frustrated antiferromagnets

We argue that collinearly ordered states which exist in strongly frustrated spin systems for special rational values of the magnetization are stabilized by thermal as well as quantum fluctuations. These general predictions are tested by Monte Carlo simulations for the classical and Lanczos diagonalization for the S = 12 frustrated square-lattice antiferromagnet.