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[AN] Ivan Trapasso: Explorations in wave packet analysis

In this talk we provide a concise overview of the fundamental principles underlying harmonic analysis in phase space. The roots of this vibrant field of modern Fourier analysis are to be found at the crossroads of signal analysis, mathematical physics, representation theory and analysis of partial differential equations. The key idea is to exploit a dictionary of oscillating wave packets (or equivalently, the combined structure of translations and modulations or dilations) to investigate properties of functions, distributions and operators in terms of suitable companion phase space representations.

Addressing time and frequency/scale on the same level presents both advantages and challenges due to the uncertainty principle. In essence, time and frequency exhibit a somewhat dual nature as variables, hence the efforts to handle them concurrently are ultimately directed to keep track of the multifaceted manifestations of their entanglement. We will delve into these issues, whose origins date back to the foundations of quantum mechanics, and show how they continue to stimulate insightful research in analysis.

Lastly, we will offer a taste of applications of these techniques to some problems motivated by the current challenges of data science, mostly in order to convey the message that the principles of time-frequency analysis are ubiquitous, hence adopting a phase space perspective can provide a versatile framework to explore problems from pure and applied mathematics.

Applicants with a Dutch bachelor degree

Admission requirements All applicants have to fulfil the minimal TU Delft admission requirements . Direct admission (no specific requirements) Individuals holding one of the following Dutch degrees can be admitted to the master programme in Computer Science: Bachelor degree in Computer Science & Engineering (Technische Informatica (TI)) from Delft University of Technology, Eindhoven University of Technology or University of Twente Bachelor degree in Computer Science from a Dutch research university Bachelor degree in Electrical Engineering or Applied Mathematics from Delft University of Technology, Eindhoven University or University of Twente and a completed bridging programming in Computer Science & Engineering from TU Delft Bachelor degree Computer Science & Engineering from a Dutch HBO institution (TI) in combination with a completed bridging programme in Computer Science & Engineering from TU Delft. Individual admission (with a Dutch university bachelor degree) If your Dutch university bachelor degree does not give direct admission, you can apply for individual admission if you meet the academic background admission requirements . Please register for the master programme Computer Science via Studielink and send an email to MSc-EEMCS@tudelft.nl . You will receive instructions on which documents to supply for the assessment by the admission committee. Please note: We do not offer a bridging programme to applicants with a Dutch university bachelor degree from outside of the EEMCS faculty. Admission to the bridging programme in Computer Science and Engineering If you have a Dutch HBO bachelor degree in Computer Science and Engineering (Technische Informatica) or a WO bachelor degree in Data Science and Artificial Intelligence Technology you may be eligible for a bridging programme that after completion gives admission to our master programme in Computer Science. For more information please send an e-mail to MSc-EEMCS@tudelft.nl

Applicants with a Dutch bachelor degree

Admission requirements All applicants have to fulfil the minimal TU Delft admission requirements . Direct admission (no specific requirements) Individuals holding one of the following Dutch degrees can be admitted to the master programme in Computer Science: Bachelor degree in Computer Science & Engineering (Technische Informatica (TI)) from Delft University of Technology, Eindhoven University of Technology or University of Twente Bachelor degree in Computer Science from a Dutch research university Bachelor degree in Electrical Engineering or Applied Mathematics from Delft University of Technology, Eindhoven University or University of Twente and a completed bridging programming in Computer Science & Engineering from TU Delft Bachelor degree Computer Science & Engineering from a Dutch HBO institution (TI) in combination with a completed bridging programme in Computer Science & Engineering from TU Delft. Individual admission (with a Dutch university bachelor degree) If your Dutch university bachelor degree does not give direct admission, you can apply for individual admission if you meet the academic background admission requirements . Please register for the master programme Computer Science via Studielink and send an email to MSc-EEMCS@tudelft.nl . You will receive instructions on which documents to supply for the assessment by the admission committee. Please note: We do not offer a bridging programme to applicants with a Dutch university bachelor degree from outside of the EEMCS faculty. Admission to the bridging programme in Computer Science and Engineering If you have a Dutch HBO bachelor degree in Computer Science and Engineering (Technische Informatica) or a WO bachelor degree in Data Science and Artificial Intelligence Technology you may be eligible for a bridging programme that after completion gives admission to our master programme in Computer Science. For more information please send an e-mail to MSc-EEMCS@tudelft.nl

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A key solution to grid congestion

On behalf of the TU Delft PowerWeb Institute, researchers Kenneth Brunninx and Simon Tindemans are handing over a Position Paper to the Dutch Parliament on 14 November 2024, with a possible solution to the major grid capacity problems that are increasingly cropping up in the Netherlands. The Netherlands is unlikely to meet the 2030 climate targets, and one of the reasons for this is that large industry cannot switch to electricity fast enough, partly because of increasingly frequent problems around grid capacity and grid congestion. In all likelihood, those problems will actually increase this decade before they can decrease, the researchers argue. The solution offered by the TU Delft PowerWeb Institute researchers is the ‘flexible backstop’. With a flexible backstop, the current capacity of the power grid can be used more efficiently without sacrificing safety or reliability. A flexible backstop is a safety mechanism that automatically and quickly reduces the amount of electricity that an electric unit can draw from the grid (an electric charging station or a heat pump) or deliver (a PV installation). It is a small device connected or built into an electrical unit, such as a charging station or heat pump, that ‘communicates’ with the distribution network operator. In case of extreme stress on the network, the network operator sends a signal to the device to limit the amount of power. Germany recently introduced a similar system with electric charging stations. The backstop would be activated only in periods of acute congestion problems and could help prevent the last resort measure, which is cutting off electricity to users. ‘Upgrading the electricity network remains essential, but in practice it will take years. So there is a need for short-term solutions that can be integrated into long-term planning. We, the members of the TU Delft PowerWeb Institute, call on the government, network operators and regulator to explore the flexible backstop as an additional grid security measure,’ they said. The entire Paper can be read here . Kenneth Brunninx Associate Professor at the Faculty of Engineering, Governance and Management, where he uses quantitative models to evaluate energy policy and market design with the aim of reducing CO2 emissions. Simon Tindemans is Associate Professor in the Intelligent Electrical Power Grids group at Faculty of Electrical Engineering, Mathematics and Computer Science. His research interests include uncertainty and risk management for power grids. TU Delft PowerWeb Institute is a community of researchers who are investigating how to make renewable energy systems reliable, future proof and accessible to everyone.

25 year celebration of formal collaboration between Delft University of Technology and the University of Campinas

On 25 October 2024 we celebrated 25 years of formal collaboration between Delft University of Technology and the University of Campinas. What began as a project to exchange some students in chemical engineering has now grown to a multifaceted and broad academic collaboration which accumulated into 24 joint research projects (>20 M Euro); 16 advanced courses and 15 Doctors with a Dual Degree PhD. Patricia Osseweijer, TU Delft Ambassador Brazil explained, “We are proud to show and reflect on this special day the added value we created resulting from our joint activities. The lessons we learned demonstrate that especially continuity of funds and availability for exchanges has contributed to joint motivation and building trust which created strong relations. This is the foundation for academic creativity and high-level achievements.” The program presented showcases of Dual Degree projects; research activities and education. It discussed the future objectives and new fields of attention and agree on the next steps to maintain and strengthen the foundation of strong relations. Telma Franco, Professor UNICAMP shared that “joint education and research has substantially benefitted the students, we see that back in the jobs they landed in,” while UNICAMP’s Professor Gustavo Paim Valenca confirmed that “we are keen to extend our collaboration to more engineering disciplines to contribute jointly to global challenges” Luuk van der Wielen highlighted that “UNICAMP and TU Delft provide valuable complementary expertise as well as infrastructures to accelerate research and innovation. Especially our joint efforts in public private partnerships brings great assets” To ensure our future activities both University Boards have launched a unique joint program for international academic leadership. This unique 7-month program will accommodate 12 young professors, 6 from each university. The programme began on 4 November 2024 in Delft, The Netherlands.

Christmas lunch

Take part in a festive lunch with MoTiv, TU Delft Studentenraad en TU Delft ESA This holiday season, MoTiv, TU Delft, and the local Delft churches are bringing together homes and students for a special, heartwarming experience, and we would love for you to be part of it! After three successful years, we’re excited to continue this festive tradition, bridging cultures and creating connections. Are you interested in joining a holiday lunch as a guest , along with other international students, in a welcoming Delft-area home? Or perhaps you’d like to open your home as a host , sharing a warm, cultural celebration with students from around the world? This special event will take place from December 23rd to December 31st, between 12:00 and 15:00 . For Guests : If you’d like to participate as a guest, we’ll match you with a local host eager to share their holiday traditions. You’ll enjoy delicious dishes, laughter, and meaningful conversations, creating memories that feel like home, even far from family. Once matched, we’ll connect you with your host so you can coordinate details and meal plans together. Sign up as a guest in this google forms.(https://forms.gle/yLAqE83DcqWGwcKB8) For Hosts : If you’re interested in hosting, this is a wonderful opportunity to welcome students into your home for a memorable meal. By sharing food, stories, and perhaps even a few games, you’ll help make the season brighter for students eager to experience Dutch hospitality and holiday traditions. Sign up as a host in this google forms.( https://forms.gle/bJB5svxJZ1iTSF1c6 ) For any questions, feel free to reach out to us at motiv.connects@gmail.com. For more information, please visit our website at www.motiv.tudelft.nl/christmas-lunch-delft/ . Thank you for making this holiday season unforgettable. We look forward to celebrating with you! Warm regards, MoTiv, TU Delft Student Council, TU Delft ESA - Student Community Team