Using the local potential approximation of the exact renormalization group (RG) equation , we show the various domains of values of the parameters of the O(1)-symmetric scalar hamiltonian. In three dimensions, in addition to the usual critical surface S c (attraction domain of the Wilson-Fisher fixed point), we explicitly show the existence of a first-order phase transition domain S f separated...

We consider a Markov control model in discrete time with countable both state space and action space. Using the value function of suitable long-run average reward problem, we study various reachability/controllability problems. First, characterize domain attraction escape set system, generalization called $p$-domain attracti...

Recent theoretical studies of the adaptation of DNA sequences assume that the distribution of fitness effects among new beneficial mutations is exponential. This has been justified by using extreme value theory and, in particular, by assuming that the distribution of fitnesses belongs to the Gumbel domain of attraction. However, extreme value theory shows that two other domains of attraction ar...

Recent experimental results from supernovae Ia observations have been interpreted to show that the rate of expansion of the universe is increasing. Other recent experimental results find strong indications that the universe is " flat. " In this paper, I investigate some solutions of Einstein's field equations which go smoothly between Schwarzschild's relativistic gravitational solution near a m...

Our branch predictor proposed for the Championship Branch Prediction (CBP) contest is a hybrid/mutation of many different ideas previously proposed in the literature, combined with a few new techniques. The mix of traces requires the predictor to handle both capacity (large tables) and deep correlation extraction (long branch histories), both made difficult by the relatively small hardware budg...

Estimators of the location and scale parameters are proposed for tails distributions belonging to Gumbel or Fréchet maximum domain attraction using only higher order statistics sample. The related problem is considered first time.