Premixed turbulent combustion has been and continues to be central to the immense progress across the world. Key among the many technologies that depend on combustion is its use in power generation and aviation applications. In this study, we characterize and quantify the nature of premixed flames in turbulent flows. First, we discuss the statistics of turbulent V-flames subjected to high turbulence levels. We show that the flame fluctuations are statistically intermittent. The intermittency is scale dependent and we differentiate between large-scale intermittency and small-scale intermittency. We calculate the generalized structure function of the increment of flame fluctuations and show that it displays a power-law with the scale of turbulent motion. Finally, we make the connection between the small-scale intermittency of flame fluctuations and that observed in turbulent flows. In the second part, we discuss the effect of small-scale intermittency on the fractal dimension of the flame. We develop heuristic arguments and analytically determine the fractal dimension. We then show that small-scale intermittency of turbulent kinetic energy dissipation rate leads to two different corrections to the fractal dimension estimates of the flame surface. In the final part of this presentation, we develop a novel strategy based on the statistics of turbulent flows in real-time combustors for the passive control of thermoacoustic instability. When the equivalence ratio is varied, there is a transition from combustion noise to thermoacoustic instability via intermittency in the combustor. We determine the spatial distribution of the Hurst exponent measured from the turbulent velocity field. We depict that the Hurst exponent is able to determine the so-called ``critical region" of the flow field, perturbing which leads to optimal control of thermoacoustic oscillations.