Phase transition in stochastic models and its analysis near critical point
| Project/Area Number |
24840007
|
|---|
| Research Category |
Grant-in-Aid for Research Activity Start-up
|
| Allocation Type | Single-year Grants |
|---|
| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
|
|---|
| Research Institution | University of Tsukuba |
|---|
Principal Investigator |
|
|---|
| Project Period (FY) |
2012-08-31 – 2014-03-31
|
| Project Status |
Completed (Fiscal Year 2013)
|
| Budget Amount *help |
¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
|
|---|
| Keywords | 確率熱方程式 / 一意性 / 測度値確率過程 / ディレクティドポリマー / ランダム媒質 / SPDE / ランダム環境中の分枝ランダムウォーク |
|---|
| Research Abstract |
We constructed super-Brownian motion in random environment from ``critical" branching random walks in random environment. We characterized this process as a solution to some stochastic heat equation. Moreover, we proved the weak uniquenss of non-negative solutions to the SPDE.
|
Report
(3 results)
Research Products
(15 results)
