R&P to host research seminar on rumour propagation and its percolating effect
Talk to be delivered by Prof. Rishideep Roy, University of Essex, on 22 November
14 November, 2024, Bengaluru: The Office of Research and Publications at IIM Bangalore will host a research seminar titled, ‘How fast do rumours spread?’, led by Prof. Rishideep Roy, Decision Sciences area, University of Essex, on 22 November, in Classroom P22 at 11.30 am at IIMB.
The seminar will unpack the mathematical dynamics of how rumors spread over time and distance, using a specialized model called the ‘rumor propagation model’ within the field of Decision Sciences. Prof. Roy will further explore both predictable and random elements influencing the speed, reach and survival time of the rumor.
Abstract:
We study a rumour propagation model as a long-range percolation model on the integer line. We begin by showing a sharp phase transition-type behaviour in the sense of exponential decay of the survival time of the rumour cluster in the sub-critical phase.
In the super-critical phase, under the assumption that radius of influence r.v. has finite moment, we show that the rightmost vertex in the rumour cluster has a deterministic speed in the sense that after appropriate scaling, the location of the rightmost vertex converges a.s. to a deterministic positive constant. Under the assumption that radius of influence r.v. has higher moment finite, we obtain a central limit theorem for appropriately scaled and centred rightmost vertex.
Later, we introduce a rumour propagation model with reactivation. For this section, we work with a family of exponentially decaying i.i.d. radius of influence r.v.'s, and we obtain the speed result for the scaled rightmost position of the rumour cluster. Each of these results is novel, in the sense that such properties have never been established before in the context of the rumour propagation model on the integer line, to the best of our knowledge.
Speaker Profile:
Prof. Rishideep Roy is a Lecturer in the School of Mathematics, Statistics, and Actuarial Science at the University of Essex, Colchester Campus. Before joining Essex, he served as an Assistant Professor of Decision Sciences at the Indian Institute of Management Bangalore (IIMB). Prof. Roy holds both his Bachelor's and Master's degrees from the Indian Statistical Institute, Kolkata, where he received training in Theoretical Statistics, Applied Statistics, and Probability Theory. He completed his PhD in Statistics at the University of Chicago, focusing on extreme value theory with an emphasis on Gaussian processes, which has broad applications in fields such as finance and astrophysics. Additionally, his research includes work in Interacting Particle Systems, Reliability Theory, Distribution Theory, and Circular Statistics.
Webpage Link: https://sites.google.com/site/royrishideep/
R&P to host research seminar on rumour propagation and its percolating effect
Talk to be delivered by Prof. Rishideep Roy, University of Essex, on 22 November
14 November, 2024, Bengaluru: The Office of Research and Publications at IIM Bangalore will host a research seminar titled, ‘How fast do rumours spread?’, led by Prof. Rishideep Roy, Decision Sciences area, University of Essex, on 22 November, in Classroom P22 at 11.30 am at IIMB.
The seminar will unpack the mathematical dynamics of how rumors spread over time and distance, using a specialized model called the ‘rumor propagation model’ within the field of Decision Sciences. Prof. Roy will further explore both predictable and random elements influencing the speed, reach and survival time of the rumor.
Abstract:
We study a rumour propagation model as a long-range percolation model on the integer line. We begin by showing a sharp phase transition-type behaviour in the sense of exponential decay of the survival time of the rumour cluster in the sub-critical phase.
In the super-critical phase, under the assumption that radius of influence r.v. has finite moment, we show that the rightmost vertex in the rumour cluster has a deterministic speed in the sense that after appropriate scaling, the location of the rightmost vertex converges a.s. to a deterministic positive constant. Under the assumption that radius of influence r.v. has higher moment finite, we obtain a central limit theorem for appropriately scaled and centred rightmost vertex.
Later, we introduce a rumour propagation model with reactivation. For this section, we work with a family of exponentially decaying i.i.d. radius of influence r.v.'s, and we obtain the speed result for the scaled rightmost position of the rumour cluster. Each of these results is novel, in the sense that such properties have never been established before in the context of the rumour propagation model on the integer line, to the best of our knowledge.
Speaker Profile:
Prof. Rishideep Roy is a Lecturer in the School of Mathematics, Statistics, and Actuarial Science at the University of Essex, Colchester Campus. Before joining Essex, he served as an Assistant Professor of Decision Sciences at the Indian Institute of Management Bangalore (IIMB). Prof. Roy holds both his Bachelor's and Master's degrees from the Indian Statistical Institute, Kolkata, where he received training in Theoretical Statistics, Applied Statistics, and Probability Theory. He completed his PhD in Statistics at the University of Chicago, focusing on extreme value theory with an emphasis on Gaussian processes, which has broad applications in fields such as finance and astrophysics. Additionally, his research includes work in Interacting Particle Systems, Reliability Theory, Distribution Theory, and Circular Statistics.
Webpage Link: https://sites.google.com/site/royrishideep/