3 papers
math.PR2026
Quantitative central limit theorem for an integrated periodogram via the fourth moment theorem
Samir Ben Hariz, Duc-Quang Bui, Youssef Esstafa
We revisit the central limit theorem for integrated periodograms, equivalently for Toeplitz quadratic forms of stationary Gaussian sequences. Under a regular-variation assumption a…
cs.CE2026
Systematic Trend-Following with Adaptive Portfolio Construction: Enhancing Risk-Adjusted Alpha in Cryptocurrency Markets
Duc Bui, Thanh Nguyen
Cryptocurrency markets exhibit pronounced momentum effects and regime-dependent volatility, presenting both opportunities and challenges for systematic trading strategies. We propo…
math.AP2026
Global regularity estimates for -Laplacian variational inequalities with singular or degenerate matrix-valued weights
Minh-Phuong Tran, Duc-Quang Bui, Thanh-Nhan Nguyen
We establish the global gradient bounds for weak solutions to the elliptic variational inequality with two-sided obstructions, associated with a -Laplacian type operator invo…