In angle-dependent 2D branching Brownian motion with b(θ) = 1 - β|θ|^α + O(θ²) near θ=0 for α ∈ (2/3,2), the maximum M_t satisfies that M_t - m(t) is tight with m(t) = √2 t - (ϑ₁/√2) t^{(2-α)/(2+α)} - c log t, where ϑ₁ comes from the first eigenvalue of an associated operator.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.PR 1years
2025 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Polynomial slowdown in an angle-dependent 2d branching Brownian motion
In angle-dependent 2D branching Brownian motion with b(θ) = 1 - β|θ|^α + O(θ²) near θ=0 for α ∈ (2/3,2), the maximum M_t satisfies that M_t - m(t) is tight with m(t) = √2 t - (ϑ₁/√2) t^{(2-α)/(2+α)} - c log t, where ϑ₁ comes from the first eigenvalue of an associated operator.