The present monograph on stochastic Komatu–Loewner evolutions (SKLEs) provides the first systematic extension of the Schramm–Loewner evolution (SLE) theory from a simply connected planar domain to multiply connected domains by using the Brownian motion with darning (BMD) that has arisen in a recent study of the boundary theory of symmetric Markov processes.This volume is presented in an accessible manner for the interested researchers and graduate students. It also brings new insig...

In the early 1250s, Möngke Khan, grandson and successor of the mighty Mongol emperor, Genghis Khan, sent out his younger brothers Qubilai and Hulegu to consolidate his power. Hulegu was welcomed into Iran while his older brother, Qubilai, continued to erode the power of the Song emperors of southern China. In 1276, he finally forced their submission and peacefully occupied the Song capital, Hangzhou. The city enjoyed a revival as the cultural capital of a united China and was soon filled w...

He has just graduated from university and unexpectedly obtained a hundred years of cultivation. With the ancient medical arts, he is invincible within a hundred years. Who can stop him from picking up a girl, who dares to be his enemy?

Functional NanomaterialsPresents the most recent advances in the production and applications of various functional nanomaterialsAs new synthetic methods, characterization technologies, and nanomaterials (NMs) with novel physical and chemical properties are developed, researchers and scientists across disciplines need to keep pace with advancements in the dynamic field. Functional Nanomaterials: Synthesis, Properties, and Applications

This book contains original research papers by leading experts in the fields of probability theory, stochastic analysis, potential theory and mathematical physics. There is also a historical account on Masatoshi Fukushima's contribution to mathematics, as well as authoritative surveys on the state of the art in the field.

He has just graduated from university and unexpectedly obtained a hundred years of cultivation. With the ancient medical arts, he is invincible within a hundred years. Who can stop him from picking up a girl, who dares to be his enemy?

He has just graduated from university and unexpectedly obtained a hundred years of cultivation. With the ancient medical arts, he is invincible within a hundred years. Who can stop him from picking up a girl, who dares to be his enemy?

He has just graduated from university and unexpectedly obtained a hundred years of cultivation. With the ancient medical arts, he is invincible within a hundred years. Who can stop him from picking up a girl, who dares to be his enemy?

He has just graduated from university and unexpectedly obtained a hundred years of cultivation. With the ancient medical arts, he is invincible within a hundred years. Who can stop him from picking up a girl, who dares to be his enemy?

He has just graduated from university and unexpectedly obtained a hundred years of cultivation. With the ancient medical arts, he is invincible within a hundred years. Who can stop him from picking up a girl, who dares to be his enemy?

This book develops limit theorems for a natural class of long range random walks on finitely generated torsion free nilpotent groups. The limits in these limit theorems are Lévy processes on some simply connected nilpotent Lie groups. Both the limit Lévy process and the limit Lie group carrying this process are determined by and depend on the law of the original random walk. The book offers the first systematic study of such limit theorems involving stable-like random walks and stable limi...

He has just graduated from university and unexpectedly obtained a hundred years of cultivation. With the ancient medical arts, he is invincible within a hundred years. Who can stop him from picking up a girl, who dares to be his enemy?