Satellite Gravity and Geodynamics -- Do We Need New Gravity Field Recovery Techniques for the New Gravity Field Satellites? -- A Localizing Basis Functions Representation for Low-Low Mode SST and Gravity Gradients Observations -- Gravity Field Modeling on the Basis of GRACE Range-Rate Combinations -- The Torus Approach in Spaceborne Gravimetry -- Gravity Recovery from Formation Flight Missions -- GRACE Gravity Model Derived by Energy Integral Method -- Robust Estimation and Robust Re-Weighting in Satellite Gravity Modelling -- Topographic and Isostatic Reductions for Use in Satellite Gravity Gradiometry -- Gravity Change After the First Water Impoundment in the Three-Gorges Reservoir, China -- Continental Water Storage Changes from GRACE Line-of-Sight Range Acceleration Measurements -- Atmospheric De-Aliasing Revisited -- First Results of the 2005 Seismology - Geodesy Monitoring Campaign for Volcanic Crustal Deformation in the Reykjanes Peninsula, Iceland -- The Statistical Analysis of the Eigenspace Components of the Strain Rate Tensor Derived from FinnRef GPS Measurements (1997-2004) in Fennoscandia -- GPS Research for Earthquake Studies in India -- Preliminary Results of Subsidence Measurements in Xi'an by Differential SAR Interferometry -- Reference Frame, GPS Theory, Algorithms and Applications -- Accuracy Assessment of the ITRF Datum Definition -- The ITRF Beyond the "Linear" Model. Choices and Challenges -- Approach for the Establishment of a Global Vertical Reference Level -- The Research Challenges of IAG Commission 4 "Positioning & Applications" -- Integrated Adjustment of LEO and GPS in Precision Orbit Determination -- Reduced-Dynamic Precise Orbit Determination Based on Helmert Transformation -- GNSS Ambiguity Resolution: When and How to Fix or not to Fix? -- Probabilistic Evaluation of the Integer Least-Squares and Integer Aperture Estimators -- The Evaluation of the Baseline's Quality Based on the Probabilistic Characteristics of the Integer Ambiguity -- Kinematic GPS Batch Processing, a Source for Large Sparse Problems -- Optimal Recursive Least-Squares Filtering of GPS Pseudorange Measurements -- A Comparison of Particle Filters for Personal Positioning -- An Effective Wavelet Method to Detect and Mitigate Low-Frequency Multipath Effects -- Regional Tropospheric Delay Modeling Based on GPS Reference Station Network -- Research on GPS Receiver Antenna Gain and Signal Carrier-to-Noise Ratio -- Optimal Combination of Galileo Inter-Frequencies -- Closed-Form ADOP Expressions for Single-Frequency GNSS-Based Attitude Determination -- Safety Monitoring for Dam Construction Crane System with Single Frequency GPS Receiver -- PPP for Long-Range Airborne GPS Kinematic Positioning -- The Uniform Tykhonov-Phillips Regularization (?-weighted S-homBLE) and its Application in GPS Rapid Static Positioning -- Statistical Estimation: Methods and Applications -- Collocation with Integer Trend -- Multidimensional Statistical Tests for Imprecise Data -- Multivariate Total Least - Squares Adjustment for Empirical Affine Transformations -- Robust Double-k-Type Ridge Estimation and Its Applications in GPS Rapid Positioning -- Adaptive Robust Sequential Adjustment -- Application of Unscented Kalman Filter in Nonlinear Geodetic Problems -- Order Statistics Filtering for Detecting Outliers in Depth Data along a Sounding Line -- Stepwise Solutions to Random Field Prediction Problems -- Maximum Possibility Estimation Method with Application in GPS Ambiguity Resolution -- Variance Component Estimation by the Method of Least-Squares -- Noise Characteristics in High Precision GPS Positioning -- Helmert Variance Component Estimation-based Vondrak Filter and its Application in GPS Multipath Error Mitigation -- Statistical Analysis of Negative Variance Components in the Estimation of Variance Components -- A Method to Adjust the Systematic Error along a Sounding Line in an Irregular Net -- Research on Precise Monitoring Method of Riverbed Evolution -- Geodetic Boundary Value Problems and Inverse Problem Theory -- On the Universal Solvability of Classical Boundary-Value Problems of Potential Theory: A Contribution from Geodesy -- Model Refinements and Numerical Solutions of Weakly Formulated Boundary-Value Problems in Physical Geodesy -- On an Ellipsoidal Approach to the Singularity-Free Gravity Space Theory -- Local Geoid Modelling From Vertical Deflections -- Monte Carlo Integration for Quasi-linear Models -- Wavelet Evaluation of Inverse Geodetic Problems -- Correcting the Smoothing Effect of Least-Squares Collocation with a Covariance-Adaptive Optimal Transformation -- Analytical Downward and Upward Continuation Based on the Method of Domain Decomposition and Local Functions. The famous Hotine-Marussi Symposium series is by geodetic need/practice, as a contribution to s- held once every four years and has been traditionally ence/engineering in general and the foundations for focused on mathematical geodesy. The VI Hotine- Geodesy in particular; (2) to provide the channel of Marussi Symposium was organizedby the Interc- communication amongst the different IAG entities mission Committee on Theory (ICCT) and succe- of commissions/services/projects, on the ground of fully held from 29 May to 2 June, 2006, at Wuhan theory and methodology,and directly cooperate with University, PR China, with 162 registered scientists andsupporttheseentitiesinthetopics-orientedwork; and students from 20 countries and regions, in addi- (3) to help the IAG in articulating mathematical and tion to many more unregistered attendees. It was physical challenges of geodesy as a subject of s- kindly sponsored by the International Association of ence and in attracting young talents to geodesy; and Geodesy and Wuhan University. (4)toencouragecloserresearchties with anddirectly The VI Hotine-Marussi Symposiumwas uniquein gets involved with relevant areas of the Earth S- the senses that: (i) this is the ?rst Hotine-Marussi ences, bearing in mind that geodesyhas been playing symposium to go beyond mathematical geodesy; (ii) an important role in understanding the physics of the this is the ?rst time for a Hotine-Marussi symposium Earth.