Mohammad Javaheri

most citedHarmonic functions via restricted mean-value theorems

1 citations · 1 across the 5 of their papers we have counts for

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5 papers

math.FA2008

O-segments on topological measure spaces

Mohammad Javaheri

Let $X$ be a topological space and $μ$ be a nonatomic finite measure on a $σ$ -algebra $Σ$ containing the Borel $σ$ -algebra of $X$ . We say $μ$ is weakly outer regular, if for every…

math.DG2007

Lower bounds for warping functions on warped-product AHE manifolds

Mohammad Javaheri

Let $[γ]$ be the conformal boundary of a warped product $C^{3, α}$ AHE metric $g = g_{M} + u^{2} h$ on $N = M \times F$ , where $(F, h)$ is compact with unit volume and nonpositive curvature. We…

math.PR2007

Line crossing problem for biased monotonic random walks in the plane

Mohammad Javaheri

In this paper, we study the problem of finding the probability that the two-dimensional (biased) monotonic random walk crosses the line $y = α x + d$ , where $α, d \geq 0$ . A $β$ -biased m…

math.AP2007★ 1 cited

Harmonic functions via restricted mean-value theorems

Mohammad Javaheri

Let $f$ be a function on a bounded domain $Ω \subseteq R^{n}$ and $δ$ be a positive function on $Ω$ such that $B (x, δ (x)) \subseteq Ω$ . Let $σ (f) (x)$ be the average of $f$ over…

math.GR2007

Chord theorems on graphs

Mohammad Javaheri

The Horizontal Chord Theorem states that if a continuous curve connects points $A$ and $B$ in the plane, then for any integer $k$ there are points $C$ and $D$ on the curve such tha…