Abstract: In this talk, we will report a recent joint work with Sefika Kuzgun, Carl Mueller, and Panqiu Xia. In this work, we study the radius of gyration \(R_T\) of a self-repellent fractional Brownian motion \(\left\{B^H_t\right\}_{0\le t\le T}\) taking values in \(\mathbb{R}^d\). Our sharpest result is for \(d=1\), where we find that with high probability, \(R_T \asymp T^\nu, \quad \text{with}\quad \nu=\frac{2}{3}\left(1+H\right).\) For \(d>1\), we provide upper and lower bounds for the exponent \(\nu\), but these bounds do not match.