26 citations · 126 across the 12 of their papers we have counts for
12 papers
Percolation on multifractal, scale-free weighted planar stochastic porous lattice
Proshanto Kumar, Md. Kamrul Hassan
We introduce the Weighted Planar Stochastic Porous Lattice (WPSPL), a geometrically disordered substrate generated by iteratively subdividing a unit square. At each step a block is…
A weighted planar stochastic lattice with scale-free, small-world and multifractal properties
Tushar Mitra, Md. Kamrul Hassan
We investigate a class of weighted planar stochastic lattice (WPSL1) created by random sequential nucleation of seed from which a crack is grown parallel to one of the sides of the…
Stochastic Fractal and Noether's Theorem
Rakibur Rahman, Fahima Nowrin, M. Shahnoor Rahman +2
We consider the binary fragmentation problem in which, at any breakup event, one of the daughter segments either survives with probability or disappears with probability $1\!-\…
Similarity and self-similarity in random walk with fixed, random and shrinking steps
Tushar Mitra, Tomal Hossain, Santo Banerjee +1
In this article, we first give a comprehensive description of random walk (RW) problem focusing on self-similarity, dynamic scaling and its connection to diffusion phenomena. One o…
Predicting TED Talk Ratings from Language and Prosody
Md Iftekhar Tanveer, Md Kamrul Hassan, Daniel Gildea +1
We use the largest open repository of public speaking---TED Talks---to predict the ratings of the online viewers. Our dataset contains over 2200 TED Talk transcripts (includes over…
Dynamic Scaling, Data-collapse and Self-Similarity in Mediation-Driven Attachment Networks
Debasish Sarker, Liana Islam, Md. Kamrul Hassan
Recently, we have shown that if the th node of the Barabási-Albert (BA) network is characterized by the generalized degree , where and …
Degree Distribution, Rank-size Distribution, and Leadership Persistence in Mediation-Driven Attachment Networks
Md. Kamrul Hassan, Liana Islam, Syed Arefinul Haque
We investigate the growth of a class of networks in which a new node first picks a mediator at random and connects with randomly chosen neighbors of the mediator at each time s…
Growing Scale-free Networks by a Mediation-Driven Attachment Rule
Kamrul Hassan, Liana Islam
We propose a model that generates a new class of networks exhibiting power-law degree distribution with a spectrum of exponents depending on the number of links () with which in…
Emergence of fractal in aggregation with stochastic self-replication
M. K. Hassan, M. Z. Hassan, N. Islam
We propose and investigate a simple model which describes the kinetics of aggregation of Brownian particles with stochastic self-replication. An exact solution and the scaling theo…
Scale-free coordination number disorder and multifractal size disorder in weighted planar stochastic lattice
M. K. Hassan, M. Z. Hassan, N. I. Pavel
The square lattice is perhaps the simplest cellular structure. In this work, however, we investigate the various structural and topological properties of the kinetic and stochastic…
Dynamic scaling, data-collapse and self-similarity in Barabási-Albert networks
M. Kamrul Hassan, M. Zahedul Hassan, Neeaj I. Pavel
In this article, we show that if each node of the Barabási-Albert (BA) network is characterized by the generalized degree , i.e. the product of their degree and the square r…
Scale-free network topology and multifractality in weighted planar stochastic lattice
M. K. Hassan, M. Z. Hassan, N. I. Pavel
We propose a weighted planar stochastic lattice (WPSL) formed by the random sequential partition of a plane into contiguous and non-overlapping blocks and find that it evolves foll…