This conference talk explores multifractional Brownian motion with telegraphic, stochastically varying parameters as part of the 10th Indian Statistical Physics Community Meeting. Delve into advanced statistical physics concepts presented by Samudrajit Thapa from the International Centre for Theoretical Sciences in this 12-minute presentation. The meeting brings together scientists, postdoctoral fellows, and graduate students from across India working in statistical physics, covering topics such as general mathematical aspects, out-of-equilibrium systems, quantum fluids, disordered systems, biological physics, soft matter, nonlinear physics, and interdisciplinary complex systems. The conference emphasizes inclusivity and encourages participation from underrepresented groups in the field.