We present an exact solution for the height distribution of KPZ equation at any time $t$ in a half space with flat initial condition. This is equivalent to obtaining free-energy polymer length pinned wall single point. In large limit binding transition takes place upon increasing attractiveness wall. Around critical point we find same statistics as Baik-Ben--Arous-P\'ech\'e outlier eigenvalues ...

We present a new methodology to analyze large classes of (classical and rough) stochastic volatility models, with special regard short-time small noise formulae for option prices. Our main tool is the theory regularity structures, which we use in form [Bayer et al; A structure rough volatility, 2017]. In essence, implement Laplace method on space models (in sense Hairer), generalizes classical ...

We prove that the free energy of log-gamma polymer between lattice points (1, 1) and (M, N) converges to GUE Tracy–Widom distribution in $$M^{1/3}$$ scaling, provided N/M remains bounded away from zero infinity. this result for model with inverse gamma weights any shape parameter $$\theta >0$$ furthermore establish a moderate deviation estimate upper tail case. Finally, we consider non i.i.d. s...

– In this article, Internal DLA is studied with a random, homogeneous, distribution of traps. Particles are injected at the origin of a d-dimensional Euclidean lattice and perform independent random walks until they hit an unsaturated trap, at which time the particle dies and the trap becomes saturated. It is proved that the large scale effect of the randomness of the traps on the speed of grow...

We study the limit distribution of upper extreme values of i.i.d. exponential samples {ei}i=1 as t →∞, N →∞. Two cases are considered: (A) ess sup X = 0 and (B) ess sup X = ∞. We assume that the function h(x) = − log P{X > x} (case B) or h(x) = − log P{X > −1/x} (case A) is (normalized) regularly varying at ∞ with index 1 < % < ∞ (case B) or 0 < % < ∞ (case A). The growth scale of N is chosen i...

By PHAEDON FESSAS AND GEORGE STAMATOYANNOPOULOS H EREDITARY PERSISTENCE of fetal hemoglobin was described in a Greek family in 1961 and included the combination of this anomaly with aand with -thalassemia.1’2 Since then, further cases or families have been observed in Greece, two of which have been reported in whole or in part in Greek medical literature.3’4 This material now permits an adequat...

By PHAEDON FESSAS AND GEORGE STAMATOYANNOPOULOS H EREDITARY PERSISTENCE of fetal hemoglobin was described in a Greek family in 1961 and included the combination of this anomaly with aand with -thalassemia.1’2 Since then, further cases or families have been observed in Greece, two of which have been reported in whole or in part in Greek medical literature.3’4 This material now permits an adequat...

A family can face a crisis as soon as the first child is born. Some mothers are unable to accept their babies and suffer a severe post-birth depression. Betty Moggs remembers the feelings of guilt and hopelessness that she experienced after the birth of her son. Belinda walked through the door of the ward to be met by a sea of eyes, some disinterested, some with a glimmer of hope and some lifel...

study of morphological traits of red fleshed apples is a critical step to improve the quality andcommercializing of them. in order to study genetic diversity of iranian red fleshed apples, a total of 17morphological characteristics were assessed for eight genotypes of red- fleshed (‘haji qermez’, ‘goushtqermez’, ‘shahroud-10’, ‘arous gousht qermz’, ‘b.9’, ‘qazvin 1, 2, 3’) and 12 iranian and fo...