42 citations · 80 across the 15 of their papers we have counts for
16 papers
Chaotic Dynamics and Bifurcation Analysis of the Hindmarsh-Rose Neuron Model with Blue-Sky Catastrophe under Magnetic Field Influence
Ram Pravesh Yadav, Hirdesh K. Pharasi, R. K. Brojen Singh +1
We investigate the impact of magnetic-field-induced feedback on the dynamics of a Hindmarsh-Rose neuron model exhibiting a blue-sky catastrophe. By introducing a magnetic flux vari…
Coarse graining correlation matrices according to macrostructures: Financial markets as a paradigm
M. Mijaíl Martínez-Ramos, Parisa Majari, Andres R. Cruz-Hernández +2
We analyze correlation structures in financial markets by coarse graining the Pearson correlation matrices according to market sectors to obtain Guhr matrices using Guhr's correlat…
Investigation of Indian stock markets using topological data analysis and geometry-inspired network measures
Saumitra Kulkarni, Hirdesh K. Pharasi, Sudharsan Vijayaraghavan +3
Geometry-inspired measures (such as discrete Ricci curvatures) and topological data analysis (TDA) based methods (such as persistent homology) have become attractive tools for char…
Dynamics of the market states in the space of correlation matrices with applications to financial markets
Hirdesh K. Pharasi, Suchetana Sadhukhan, Parisa Majari +2
The concept of states of financial markets based on correlations has gained increasing attention during the last 10 years. We propose to retrace some important steps up to 2018, an…
Dynamics of market states and risk assessment
Hirdesh K. Pharasi, Eduard Seligman, Suchetana Sadhukhan +2
Previous research explored various conditions of financial markets based on the similarity of correlation structures and classified as market states. We introduce modifications to…
Network geometry and market instability
Areejit Samal, Hirdesh K. Pharasi, Sarath Jyotsna Ramaia +4
The complexity of financial markets arise from the strategic interactions among agents trading stocks, which manifest in the form of vibrant correlation patterns among stock prices…
A perspective on correlation-based financial networks and entropy measures
Vishwas Kukreti, Hirdesh K. Pharasi, Priya Gupta +1
In this brief review, we critically examine the recent work done on correlation-based networks in financial systems. The structure of empirical correlation matrices constructed fro…
Market states: A new understanding
Hirdesh K. Pharasi, Eduard Seligman, Thomas H. Seligman
We present the clustering analysis of the financial markets of S&P 500 (USA) and Nikkei 225 (JPN) markets over a period of 2006-2019 as an example of a complex system. We investiga…
Phase separation and scaling in correlation structures of financial markets
Anirban Chakraborti, Hrishidev, Kiran Sharma +1
Financial markets, being spectacular examples of complex systems, display rich correlation structures among price returns of different assets. The correlation structures change dra…
Complex market dynamics in the light of random matrix theory
Hirdesh K. Pharasi, Kiran Sharma, Anirban Chakraborti +1
We present a brief overview of random matrix theory (RMT) with the objectives of highlighting the computational results and applications in financial markets as complex systems. An…
Identifying long-term precursors of financial market crashes using correlation patterns
Hirdesh K. Pharasi, Kiran Sharma, Rakesh Chatterjee +3
The study of the critical dynamics in complex systems is always interesting yet challenging. Here, we choose financial market as an example of a complex system, and do a comparativ…
Characterization of catastrophic instabilities: Market crashes as paradigm
Anirban Chakraborti, Kiran Sharma, Hirdesh K. Pharasi +3
Catastrophic events, though rare, do occur and when they occur, they have devastating effects. It is, therefore, of utmost importance to understand the complexity of the underlying…
Spectra and probability distributions of thermal flux in turbulent Rayleigh-Bénard convection
Hirdesh K. Pharasi, Deepesh Kumar, Krishna Kumar +1
The spectra of turbulent heat flux in Rayleigh-Bénard convection with and without uniform rotation are presented. The spectrum scales with wave numb…
Frequency spectra of turbulent thermal convection with uniform rotation
Hirdesh K. Pharasi, Krishna Kumar, Jayanta K. Bhattacharjee
The frequency spectra of the entropy and kinetic energy along with the power spectrum of the thermal flux are computed from direct numerical simulations for turbulent Rayleigh-Béna…
Oscillatory instability and fluid patterns in low-Prandtl-number Rayleigh-Bénard convection with uniform rotation
Hirdesh K. Pharasi, Krishna Kumar
We present the results of direct numerical simulations of flow patterns in a low-Prandtl-number () fluid above the onset of oscillatory convection in a Rayleigh-Bénard sy…
Entropy and energy spectra in low-Prandtl-number convection with rotation
Hirdesh K. Pharasi, Krishna Kumar, Jayanta K. Bhattacharjee
We present results for entropy and kinetic energy spectra computed from direct numerical simulations for low-Prandtl-number () turbulent flow in Rayleigh-Bénard convection…